{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T13:47:16Z","timestamp":1774878436067,"version":"3.50.1"},"reference-count":112,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2007,11,28]],"date-time":"2007-11-28T00:00:00Z","timestamp":1196208000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["4OR"],"published-print":{"date-parts":[[2008,3]]},"DOI":"10.1007\/s10288-007-0064-2","type":"journal-article","created":{"date-parts":[[2007,11,27]],"date-time":"2007-11-27T09:57:20Z","timestamp":1196157440000},"page":"1-44","source":"Crossref","is-referenced-by-count":160,"title":["A decade of application of the Choquet and Sugeno integrals in multi-criteria decision aid"],"prefix":"10.1007","volume":"6","author":[{"given":"Michel","family":"Grabisch","sequence":"first","affiliation":[]},{"given":"Christophe","family":"Labreuche","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2007,11,28]]},"reference":[{"key":"64_CR1","unstructured":"Bana e Costa CA, Vansnick J-C (1994) A theoretical framework for measuring attractiveness by a categorical based evaluation TecHnique (MACBETH). In: Proceedings of XIth internatinal conference on multicriteria decision making, Coimbra, pp 15\u201324"},{"key":"64_CR2","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1002\/(SICI)1099-1360(199703)6:2<107::AID-MCDA147>3.0.CO;2-1","volume":"6","author":"CA Banae Costa","year":"1997","unstructured":"Banae Costa CA, Vansnick J-C (1997) Applications of the MACBETH approach in the framework of an additive aggregation model. J Multicriteria Decis Anal 6: 107\u2013114","journal-title":"J Multicriteria Decis Anal"},{"key":"64_CR3","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/978-94-017-0647-6_9","volume-title":"Advances in decision analysis","author":"CA Banae Costa","year":"1999","unstructured":"Banae Costa CA, Vansnick J-C (1999) The MACBETH approach: basic ideas, software and an application. In: Meskens N, Roubens M(eds) Advances in decision analysis. Kluwer, Dordrecht, pp 131\u2013157"},{"issue":"3","key":"64_CR4","doi-asserted-by":"crossref","first-page":"340","DOI":"10.1016\/j.omega.2006.02.009","volume":"36","author":"L Berrah","year":"2008","unstructured":"Berrah L, Mauris G, Montmain J (2008) Monitoring the improvement of an overall industrial performance based on a Choquet integral aggregation. Omega 36(3): 340\u2013351","journal-title":"Omega"},{"key":"64_CR5","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4615-4393-0","volume-title":"Cooperative games on combinatorial structures","author":"JM Bilbao","year":"2000","unstructured":"Bilbao JM, Fernandez JR, Jim\u00e9nez Losada A, Lebr\u00f3n E (2000) Bicooperative games. In: Bilbao JM(eds) Cooperative games on combinatorial structures. Kluwer, Dordrecht"},{"key":"64_CR6","doi-asserted-by":"crossref","unstructured":"Bilbao JM, Fern\u00e1ndez JR, Jim\u00e9nez N, L\u00f3pez JJ (2007) The value for bi-cooperative games. Ann Oper Res (to appear)","DOI":"10.1007\/s10479-007-0243-8"},{"key":"64_CR7","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/j.ejor.2006.01.027","volume":"178","author":"D Bouyssou","year":"2007","unstructured":"Bouyssou D, Marchant Th (2007a) An axiomatic approach to noncompensatory scoring methods in MCDM, I: The case of two categories. Eur J Oper Res 178: 217\u2013245","journal-title":"Eur J Oper Res"},{"key":"64_CR8","doi-asserted-by":"crossref","first-page":"246","DOI":"10.1016\/j.ejor.2006.01.033","volume":"178","author":"D Bouyssou","year":"2007","unstructured":"Bouyssou D, Marchant Th (2007b) An axiomatic approach to noncompensatory scoring methods in MCDM, II: More than two categories. Eur J Oper Res 178: 246\u2013276","journal-title":"Eur J Oper Res"},{"key":"64_CR9","first-page":"39","volume":"6","author":"D Bouyssou","year":"2003","unstructured":"Bouyssou D, Marchant Th, Pirlot M (2003) A conjoint measurement approach to the discrete sugeno integral. a note on a result of greco, matarazzo and s\u0142owi\u0144ski. Ann LAMSADE 6: 39\u201360","journal-title":"Ann LAMSADE"},{"key":"64_CR10","doi-asserted-by":"crossref","first-page":"131","DOI":"10.5802\/aif.53","volume":"5","author":"G Choquet","year":"1953","unstructured":"Choquet G (1953) Theory of capacities. Ann Inst Fourier 5: 131\u2013295","journal-title":"Ann Inst Fourier"},{"key":"64_CR11","unstructured":"Combarro E, Miranda P (2003) A genetic algorithm for the identification of fuzzy measures from sample data. In: International fuzzy systems Association World Congress (IFSA 2003), Istanbul, pp 163\u2013166"},{"key":"64_CR12","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/S0020-0255(99)00099-7","volume":"121","author":"D Denneberg","year":"1999","unstructured":"Denneberg D, Grabisch M (1999) Interaction transform of set functions over a finite set. Inform Sci 121: 149\u2013170","journal-title":"Inform Sci"},{"key":"64_CR13","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/j.jmp.2003.11.002","volume":"48","author":"D Denneberg","year":"2004","unstructured":"Denneberg D, Grabisch M (2004) Measure and integral with purely ordinal scales. J Math Psychol 48: 15\u201327","journal-title":"J Math Psychol"},{"key":"64_CR14","unstructured":"Dubois D, Fargier H (2005). Bridging the gap between discrete Sugeno and Choquet integrals. Presented at RUD\u20192005 (workshop on Risk, Utility and Decision). Heidelberg, Germany, pp 22\u201324"},{"key":"64_CR15","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/978-1-4615-4429-6_2","volume-title":"Fundamentals of fuzzy sets, vol 1 of the handbooks of fuzzy sets","author":"D Dubois","year":"2000","unstructured":"Dubois D, Ostasiewicz W, Prade H (2000a) Fuzzy sets: history and basic notions. In: Dubois D, Prade H(eds) Fundamentals of fuzzy sets, vol 1 of the handbooks of fuzzy sets. Kluwer, Dordrecht, pp 21\u2013124"},{"key":"64_CR16","first-page":"314","volume-title":"Fuzzy measures and integrals\u2014theory and applications","author":"D Dubois","year":"2000","unstructured":"Dubois D, Prade H, Sabbadin R (2000b) Qualitative decision theory with Sugeno integrals. In: Grabisch M, Murofushi T, Sugeno M(eds) Fuzzy measures and integrals\u2014theory and applications. Physica Verlag, Heidelberg, pp 314\u2013332"},{"issue":"5","key":"64_CR17","doi-asserted-by":"crossref","first-page":"539","DOI":"10.1142\/S0218488501001058","volume":"9","author":"D Dubois","year":"2001","unstructured":"Dubois D, Marichal J-L, Prade H, Roubens M, Sabbadin R (2001a) The use of the discrete Sugeno integral in decision making: a survey. Int J Uncertain Fuzziness Knowl Based Syst 9(5): 539\u2013561","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"key":"64_CR18","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1016\/S0377-2217(99)00473-7","volume":"128","author":"D Dubois","year":"2001","unstructured":"Dubois D, Prade H, Sabbadin R (2001b) Decision-theoretic foundations of qualitative possibility theory. Eur J Oper Res 128: 459\u2013478","journal-title":"Eur J Oper Res"},{"key":"64_CR19","unstructured":"Dujmovi\u0107 JJ (1974) Weighted conjunctive and disjunctive means and their application in system evaluation. Univ. Beograd. Publ. Elektrotechn. Fak., pp 147\u2013158"},{"key":"64_CR20","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/j.artint.2004.12.002","volume":"164","author":"H Fargier","year":"2005","unstructured":"Fargier H, Sabbadin R (2005) Qualitative decision under uncertainty: back to expected utility. Artif Intell 164: 245\u2013280","journal-title":"Artif Intell"},{"key":"64_CR21","doi-asserted-by":"crossref","first-page":"335","DOI":"10.1007\/BF01263275","volume":"26","author":"D Felsenthal","year":"1997","unstructured":"Felsenthal D, Machove Mr (1997) Ternary voting games. Int J Game Theory 26: 335\u2013351","journal-title":"Int J Game Theory"},{"key":"64_CR22","unstructured":"Fragnelli V, Moretti S (2007) A game theoretical approach to the classification problem in gene expression data analysis. Comput Math Appl (to appear)"},{"key":"64_CR23","first-page":"94","volume-title":"Fuzzy measures and integrals\u2014theory and applications","author":"K Fujimoto","year":"2000","unstructured":"Fujimoto K, Murofushi T (2000) Hierarchical decomposition of the Choquet integral. In: Grabisch M, Murofushi T, Sugeno M(eds) Fuzzy measures and integrals\u2014theory and applications. Physica Verlag, Heidelberg, pp 94\u2013104"},{"key":"64_CR24","doi-asserted-by":"crossref","first-page":"72","DOI":"10.1016\/j.geb.2005.03.002","volume":"55","author":"K Fujimoto","year":"2006","unstructured":"Fujimoto K, Kojadinovic I, Marichal J-L (2006) Axiomatic characterizations of probabilistic and cardinal-probabilistic interaction indices. Games Econ Behav 55: 72\u201399","journal-title":"Games Econ Behav"},{"key":"64_CR25","doi-asserted-by":"crossref","unstructured":"Grabisch M (1995) A new algorithm for identifying fuzzy measures and its application to pattern recognition. In: Int. Joint Conf. of the 4th IEEE Int. Conf. on Fuzzy Systems and the 2nd Int. Fuzzy engineering symposium. Yokohama, pp 145\u2013150","DOI":"10.1109\/FUZZY.1995.409673"},{"key":"64_CR26","doi-asserted-by":"crossref","first-page":"445","DOI":"10.1016\/0377-2217(95)00176-X","volume":"89","author":"M Grabisch","year":"1996","unstructured":"Grabisch M (1996) The application of fuzzy integrals in multicriteria decision making. Eur J Oper Res 89: 445\u2013456","journal-title":"Eur J Oper Res"},{"key":"64_CR27","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/S0165-0114(97)00168-1","volume":"92","author":"M Grabisch","year":"1997","unstructured":"Grabisch M (1997) k-order additive discrete fuzzy measures and their representation. Fuzzy Sets Syst 92: 167\u2013189","journal-title":"Fuzzy Sets Syst"},{"key":"64_CR28","doi-asserted-by":"crossref","first-page":"587","DOI":"10.1142\/S0218488597000440","volume":"5","author":"M Grabisch","year":"1997","unstructured":"Grabisch M (1997) Alternative representations of discrete fuzzy measures for decision making. Int J Uncertain Fuzziness Knowl Based Syst 5: 587\u2013607","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"key":"64_CR29","unstructured":"Grabisch M (2000a) \u00c9valuation subjective. In: Bouyssou D, Dubois D, Pirlot M, Prade H (eds) Concepts et M\u00e9thodes pour l\u2019Aide \u00e0 la D\u00e9cision, vol. 3: Analyse multicrit\u00e8re, IC2., Herm\u00e8s, pp 175\u2013232"},{"key":"64_CR30","first-page":"70","volume-title":"Fuzzy measures and integrals\u2014theory and applications","author":"M Grabisch","year":"2000","unstructured":"Grabisch M (2000b) The interaction and M\u00f6bius representations of fuzzy measures on finite spaces, k-additive measures: a survey. In: Grabisch M, Murofushi T, Sugeno M(eds) Fuzzy measures and integrals\u2014theory and applications. Physica Verlag, Heidelberg, pp 70\u201393"},{"key":"64_CR31","doi-asserted-by":"crossref","first-page":"1381","DOI":"10.1016\/B978-044450263-6\/50035-X","volume-title":"Handbook of measure theory","author":"M Grabisch","year":"2002","unstructured":"Grabisch M (2002) Set function over finite sets: transformations and integrals. In: Pap E(eds) Handbook of measure theory. Elsevier, Amsterdam, pp 1381\u20131401"},{"key":"64_CR32","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1016\/S0165-0114(02)00499-2","volume":"139","author":"M Grabisch","year":"2003","unstructured":"Grabisch M (2003a) The symmetric Sugeno integral. Fuzzy Sets Syst 139: 473\u2013490","journal-title":"Fuzzy Sets Syst"},{"key":"64_CR33","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1007\/978-3-540-36519-8_8","volume-title":"Information fusion in data mining","author":"M Grabisch","year":"2003","unstructured":"Grabisch M (2003b) Modelling data by the Choquet integral. In: Torra V(eds) Information fusion in data mining. Physica Verlag, Heidelberg, pp 135\u2013148"},{"issue":"1\u20133","key":"64_CR34","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.disc.2004.05.013","volume":"287","author":"M Grabisch","year":"2004","unstructured":"Grabisch M (2004a) The M\u00f6bius function on symmetric ordered structures and its application to capacities on finite sets. Discrete Math 287(1\u20133): 17\u201334","journal-title":"Discrete Math"},{"key":"64_CR35","unstructured":"Grabisch M (2004b) The Choquet integral as a linear interpolator. In: 10th international conference on information processing and management of uncertainty in knowledge-based systems (IPMU 2004). Perugia, pp 373\u2013378"},{"key":"64_CR36","unstructured":"Grabisch M (2006) Some lexicographic approaches to the Sugeno integral. In: Proceedings of international conference on information processing and management of uncertainty (IPMU\u201906). Paris, pp 572\u2013579"},{"key":"64_CR37","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1142\/S0218488501000697","volume":"9","author":"M Grabisch","year":"2001","unstructured":"Grabisch M, Labreuche Ch (2001) How to improve acts: an alternative representation of the importance of criteria in mcdm. Int J Uncertain Fuzziness Knowl Based Syst 9: 145\u2013157","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"key":"64_CR38","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1016\/j.fss.2004.08.012","volume":"151","author":"M Grabisch","year":"2005","unstructured":"Grabisch M, Labreuche Ch (2005a) Bi-capacities. Part I: definition, M\u00f6bius transform and interaction. Fuzzy Sets Syst 151: 211\u2013236","journal-title":"Fuzzy Sets Syst"},{"key":"64_CR39","doi-asserted-by":"crossref","first-page":"563","DOI":"10.1007\/0-387-23081-5_14","volume-title":"Multiple criteria decision analysis","author":"M Grabisch","year":"2005","unstructured":"Grabisch M, Labreuche Ch (2005b) Fuzzy measures and integrals in MCDA. In: Figueira J, Greco S, Ehrgott M(eds) Multiple criteria decision analysis. Kluwer, Dordrecht, pp 563\u2013608"},{"key":"64_CR40","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1016\/j.fss.2004.08.013","volume":"151","author":"M Grabisch","year":"2005","unstructured":"Grabisch M, Labreuche Ch (2005c) Bi-capacities. Part II: the Choquet integral. Fuzzy Sets Syst 151: 237\u2013259","journal-title":"Fuzzy Sets Syst"},{"key":"64_CR41","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1016\/0165-0114(94)90023-X","volume":"65","author":"M Grabisch","year":"1994","unstructured":"Grabisch M, Nicolas JM (1994) Classification by fuzzy integral\u2014performance and tests. Fuzzy Sets Syst Spec Issue Pattern Recogn 65: 255\u2013271","journal-title":"Fuzzy Sets Syst Spec Issue Pattern Recogn"},{"key":"64_CR42","doi-asserted-by":"crossref","unstructured":"Grabisch M, Raufaste E (2007) An empirical study of statistical properties of Choquet and Sugeno integrals. IEEE Trans Fuzzy Syst (to appear)","DOI":"10.1109\/TFUZZ.2008.917295"},{"key":"64_CR43","doi-asserted-by":"crossref","first-page":"547","DOI":"10.1007\/s001820050125","volume":"28","author":"M Grabisch","year":"1999","unstructured":"Grabisch M, Roubens M (1999) An axiomatic approach to the concept of interaction among players in cooperative games. Int J Game Theory 28: 547\u2013565","journal-title":"Int J Game Theory"},{"issue":"2","key":"64_CR44","doi-asserted-by":"crossref","first-page":"157","DOI":"10.1287\/moor.25.2.157.12225","volume":"25","author":"M Grabisch","year":"2000","unstructured":"Grabisch M, Marichal J-L, Roubens M (2000) Equivalent representations of set functions. Math Oper Res 25(2): 157\u2013178","journal-title":"Math Oper Res"},{"issue":"3","key":"64_CR45","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1023\/A:1019640913523","volume":"1","author":"M Grabisch","year":"2002","unstructured":"Grabisch M, Duch\u00eane J, Lino F, Perny P (2002) Subjective evaluation of discomfort in sitting position. Fuzzy Optim Decis Making 1(3): 287\u2013312","journal-title":"Fuzzy Optim Decis Making"},{"key":"64_CR46","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/S0377-2217(02)00354-5","volume":"148","author":"M Grabisch","year":"2003","unstructured":"Grabisch M, Labreuche Ch, Vansnick J-C (2003) On the extension of pseudo-Boolean functions for the aggregation of interacting bipolar criteria. Eur J Oper Res 148: 28\u201347","journal-title":"Eur J Oper Res"},{"key":"64_CR47","doi-asserted-by":"crossref","unstructured":"Grabisch M, Greco S, Pirlot M (2007) Bipolar and bivariate models in multicriteria decision analysis: descriptive and constructive approaches. Int J Intell Syst (to appear)","DOI":"10.1002\/int.20301"},{"key":"64_CR48","doi-asserted-by":"crossref","first-page":"766","DOI":"10.1016\/j.ejor.2007.02.025","volume":"186","author":"M Grabisch","year":"2008","unstructured":"Grabisch M, Kojadinovic I, Meyer P (2008) A review of capacity identification methods for Choquet integral based multi-attribute utility theory\u2014applications of the Kappalab R package. Eur J Oper Res 186: 766\u2013785","journal-title":"Eur J Oper Res"},{"key":"64_CR49","unstructured":"Greco S, Matarazzo B, S\u0142owi\u0144ski R (2002) Bipolar Sugeno and Choquet integrals. In: EUROFUSE workshop on informations systems. Varenna, pp 191\u2013196"},{"issue":"2","key":"64_CR50","doi-asserted-by":"crossref","first-page":"271","DOI":"10.1016\/j.ejor.2003.06.004","volume":"158","author":"S Greco","year":"2004","unstructured":"Greco S, Matarazzo B, S\u0142owi\u0144ski R (2004) Axiomatic characterization of a general utility function and its particular cases in terms of conjoint measurement and rough-set decision rules. Eur J Oper Res 158(2): 271\u2013292","journal-title":"Eur J Oper Res"},{"key":"64_CR51","first-page":"30","volume":"3","author":"J Havrda","year":"1967","unstructured":"Havrda J, Charvat F (1967) Quantification method of classification processes. concept of structural a-entropy. Kybernetika 3: 30\u201395","journal-title":"Kybernetika"},{"key":"64_CR52","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1016\/j.ejor.2005.10.059","volume":"177","author":"I Kojadinovic","year":"2007","unstructured":"Kojadinovic I (2007a) Minimum variance capacity identification. Eur J Oper Res 177: 498\u2013514","journal-title":"Eur J Oper Res"},{"key":"64_CR53","doi-asserted-by":"crossref","first-page":"498","DOI":"10.1016\/j.ejor.2006.03.044","volume":"179","author":"I Kojadinovic","year":"2007","unstructured":"Kojadinovic I (2007b) A weight-based approach to the measurement of the interaction among criteria in the framework of aggregation by the bipolar choquet integral. Eur J Oper Res 179: 498\u2013517","journal-title":"Eur J Oper Res"},{"key":"64_CR54","volume-title":"Foundations of measurement, vol 1: additive and Polynomial Representations","author":"DH Krantz","year":"1971","unstructured":"Krantz DH, Luce RD, Suppes P, Tversky A (1971) Foundations of measurement, vol 1: additive and Polynomial Representations. Academic"},{"key":"64_CR55","first-page":"375","volume-title":"Fuzzy measures and integrals\u2014theory and applications","author":"SH Kwon","year":"2000","unstructured":"Kwon SH, Sugeno M (2000) A hierarchical subjective evaluation model using non-monotonic fuzzy measures and the Choquet integral. In: Grabisch M, Murofushi T, Sugeno M(eds) Fuzzy measures and integrals\u2014theory and applications. Physica Verlag, Heidelberg, pp 375\u2013391"},{"key":"64_CR56","unstructured":"Labreuche Ch (2004) Determination of the criteria to be improved first in order to improve as much as possible the overall evaluation. In: International conference on information processing and management of uncertainty in knowledge-based systems (IPMU). Perugia, July 4\u20139, pp 609\u2013616"},{"key":"64_CR57","unstructured":"Labreuche Ch (2005) Argumentation of the results of a multi-criteria evaluation model in individual and group decision aiding. In: International conference of the Euro society for fuzzy logic and technology (EUSFLAT). Barcelona, September 7\u20139, pp 482\u2013487"},{"key":"64_CR58","unstructured":"Labreuche Ch (2006) Argumentation of the decision made by several aggregation operators based on weights. In: International conference on information processing and management of uncertainty in knowledge-based systems (IPMU). Paris, July 2\u20137, pp 683\u2013691"},{"key":"64_CR59","unstructured":"Labreuche Ch (2007) Modeling the context in multi-criteria decision analysis. In: International conference of the Euro society for fuzzy logic and technology (EUSFLAT), Ostrava, September 11\u201314"},{"key":"64_CR60","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/S0165-0114(02)00429-3","volume":"137","author":"Ch Labreuche","year":"2003","unstructured":"Labreuche Ch, Grabisch M (2003) The Choquet integral for the aggregation of interval scales in multicriteria decision making. Fuzzy Sets Syst 137: 11\u201326","journal-title":"Fuzzy Sets Syst"},{"key":"64_CR61","unstructured":"Labreuche Ch, Grabisch M (2004) Partially unipolar bi-capacities in MCDM. In: SCIS-ISIS. Yokohama, Japan, September 21\u201324"},{"key":"64_CR62","doi-asserted-by":"crossref","first-page":"931","DOI":"10.1016\/j.ejor.2004.11.008","volume":"172","author":"Ch Labreuche","year":"2006","unstructured":"Labreuche Ch, Grabisch M (2006a) Generalized Choquet-like aggregation functions for handling ratio scales. Eur J Oper Res 172: 931\u2013955","journal-title":"Eur J Oper Res"},{"key":"64_CR63","unstructured":"Labreuche Ch, Grabisch M (2006b) Definition of importance indices for bicapacities in MCDA. In: International conference on information processing and management of uncertainty in knowledge-based systems (IPMU). Paris, July 2\u20137, pp 292\u2013299"},{"key":"64_CR64","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s10479-007-0184-2","volume":"154","author":"Ch Labreuche","year":"2007","unstructured":"Labreuche Ch, Grabisch M (2007a) The representation of conditional relative importance between criteria. Ann Oper Res 154: 93\u2013122","journal-title":"Ann Oper Res"},{"key":"64_CR65","doi-asserted-by":"crossref","unstructured":"Labreuche Ch, Grabisch M (2007b) A value for bi-cooperative games (submitted)","DOI":"10.1007\/s00182-008-0126-5"},{"key":"64_CR66","unstructured":"Labreuche Ch, Le Hu\u00e9d\u00e9 F (2005) Myriad: a tool suite for MCDA. In: Int. Conf. of the Euro Society for Fuzzy Logic and Technology (EUSFLAT). Barcelona, September 7\u20139, pp 204\u2013209"},{"key":"64_CR67","unstructured":"Labreuche Ch, Le Hu\u00e9d\u00e9 F (2006) Inconsistencies in the determination of a capacity. In: European conference on artificial intelligence (ECAI)\u2014workshop on advances in preference handling. Riva del Garda, August 28\u2013September 1, pp 73\u201380"},{"key":"64_CR68","doi-asserted-by":"crossref","first-page":"461","DOI":"10.1016\/j.ejor.2004.02.023","volume":"167","author":"D Liginlal","year":"2005","unstructured":"Liginlal D, Ow TT (2005) On policy capturing with fuzzy measures. Eur J Oper Res 167: 461\u2013474","journal-title":"Eur J Oper Res"},{"key":"64_CR69","doi-asserted-by":"crossref","first-page":"235","DOI":"10.1007\/978-3-642-68874-4_10","volume-title":"Mathematical programming. The state of the art","author":"L Lov\u00e1sz","year":"1983","unstructured":"Lov\u00e1sz L (1983) Submodular functions and convexity. In: Bachem A, Gr\u00f6tschel M, Korte B(eds) Mathematical programming. The state of the art. Springer, Heidelberg, pp 235\u2013257"},{"key":"64_CR70","unstructured":"Marichal J-L (1998) Aggregation operators for multicriteria decision aid. PhD Thesis, University of Li\u00e8ge"},{"issue":"1","key":"64_CR71","doi-asserted-by":"crossref","first-page":"164","DOI":"10.1109\/91.917122","volume":"9","author":"J-L Marichal","year":"2001","unstructured":"Marichal J-L (2001) An axiomatic approach of the discrete Sugeno integral as a tool to aggregate interacting criteria in a qualitative framework. IEEE Trans Fuzzy Syst 9(1): 164\u2013172","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"64_CR72","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1016\/S0165-0114(98)00116-X","volume":"114","author":"J-L Marichal","year":"2000","unstructured":"Marichal J-L (2000) On Sugeno integral as an aggregation function. Fuzzy Sets Syst 114: 347\u2013365","journal-title":"Fuzzy Sets Syst"},{"key":"64_CR73","doi-asserted-by":"crossref","first-page":"224","DOI":"10.1007\/978-3-7908-1787-4_7","volume-title":"Aggregation operators: new trends and applications, vol 97 of Studies in Fuzziness and Soft Computing","author":"J-L Marichal","year":"2002","unstructured":"Marichal J-L (2002) Aggregation of interacting criteria by means of the discrete Choquet integral. In: Calvo T, Mayor G, Mesiar R(eds) Aggregation operators: new trends and applications, vol 97 of Studies in Fuzziness and Soft Computing. Physica Verlag, Heidelberg, pp 224\u2013244"},{"issue":"3","key":"64_CR74","doi-asserted-by":"crossref","first-page":"771","DOI":"10.1016\/S0377-2217(02)00885-8","volume":"155","author":"J-L Marichal","year":"2004","unstructured":"Marichal J-L (2004) Tolerant or intolerant character of interacting criteria in aggregation by the Choquet integral. Eur J Oper Res 155(3): 771\u2013791","journal-title":"Eur J Oper Res"},{"key":"64_CR75","unstructured":"Marichal J-L (2007) Weighted lattice polynomials. Discrete Math (submitted)"},{"issue":"3","key":"64_CR76","doi-asserted-by":"crossref","first-page":"1453","DOI":"10.1016\/j.ejor.2005.04.015","volume":"177","author":"J-L Marichal","year":"2007","unstructured":"Marichal J-L (2007) k-intolerant capacities and Choquet integrals. Eur J Oper Res 177(3): 1453\u20131468","journal-title":"Eur J Oper Res"},{"key":"64_CR77","author":"J-L Marichal","year":"2007","unstructured":"Marichal J-L, Mathonet P (2007) Approximations of lov\u00e1sz extensions and their induced interaction index. Discrete Appl Math. doi: 10.1016\/j.dam.2007.07.011","journal-title":"Discrete Appl Math"},{"key":"64_CR78","doi-asserted-by":"crossref","first-page":"641","DOI":"10.1016\/S0377-2217(99)00182-4","volume":"124","author":"J-L Marichal","year":"2000","unstructured":"Marichal J-L, Roubens M (2000) Determination of weights of interacting criteria from a reference set. Eur J Oper Res 124: 641\u2013650","journal-title":"Eur J Oper Res"},{"key":"64_CR79","doi-asserted-by":"crossref","first-page":"861","DOI":"10.1016\/j.cor.2003.09.002","volume":"32","author":"J-L Marichal","year":"2005","unstructured":"Marichal J-L, Meyer P, Roubens M (2005) Sorting multi-attribute alternatives: the TOMASO method. Comput Oper Res 32: 861\u2013877","journal-title":"Comput Oper Res"},{"key":"64_CR80","doi-asserted-by":"crossref","first-page":"471","DOI":"10.1007\/0-387-23081-5_12","volume-title":"Multiple criteria decision analysis","author":"P Meyer","year":"2005","unstructured":"Meyer P, Roubens M (2005) Choice, ranking and sorting in fuzzy multiple criteria decision aid. In: Figueira J, Greco S, Ehrgott M(eds) Multiple criteria decision analysis. Kluwer, Dordrecht, pp 471\u2013506"},{"issue":"6","key":"64_CR81","doi-asserted-by":"crossref","first-page":"545","DOI":"10.1142\/S0218488599000477","volume":"7","author":"P Miranda","year":"1999","unstructured":"Miranda P, Grabisch M (1999) Optimization issues for fuzzy measures. Int J Uncertain Fuzziness Knowl Based Syst 7(6): 545\u2013560","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"issue":"Suppl","key":"64_CR82","doi-asserted-by":"crossref","first-page":"105","DOI":"10.1142\/S0218488502001867","volume":"10","author":"P Miranda","year":"2002","unstructured":"Miranda P, Grabisch M, Gi Pl P (2002) p-symmetric fuzzy measures. Int J Uncertain Fuzziness Knowl Based Syst 10(Suppl): 105\u2013123","journal-title":"Int J Uncertain Fuzziness Knowl Based Syst"},{"key":"64_CR83","unstructured":"Montmain J (2007) Interpr\u00e9tation de la contribution d\u2019un crit\u00e8re dans le contexte d\u2019une am\u00e9lioration multicrit\u00e8re bas\u00e9e sur une int\u00e9grale de Choquet. In: Logique Floue et Applications (LFA). N\u00eemes, France"},{"key":"64_CR84","doi-asserted-by":"crossref","unstructured":"Moulin H (1988) Axioms of cooperative decision making. Wily","DOI":"10.1017\/CCOL0521360552"},{"key":"64_CR85","unstructured":"Murofushi T (1992) A technique for reading fuzzy measures (I): the Shapley value with respect to a fuzzy measure (in Japanese). In: 2nd Fuzzy Workshop. Nagaoka, October 1992, pp 39\u201348"},{"issue":"6","key":"64_CR86","doi-asserted-by":"crossref","first-page":"783","DOI":"10.1109\/91.971697","volume":"9","author":"T Murofushi","year":"2001","unstructured":"Murofushi T (2001) Lexicographic use of Sugeno integrals and monotonicity conditions. IEEE Trans Fuzzy Syst 9(6): 783\u2013794","journal-title":"IEEE Trans Fuzzy Syst"},{"key":"64_CR87","unstructured":"Murofushi T, Soneda S (1993) Techniques for reading fuzzy measures (III): interaction index (in Japanese). In: 9th fuzzy system symposium. Sapporo, pp 693\u2013696"},{"key":"64_CR88","first-page":"3","volume-title":"Fuzzy measures and integrals\u2014theory and applications","author":"T Murofushi","year":"2000","unstructured":"Murofushi T, Sugeno M (2000) Fuzzy measures and fuzzy integrals. In: Grabisch M, Murofushi T, Sugeno M(eds) Fuzzy measures and integrals\u2014theory and applications. Physica Verlag, Heidelberg, pp 3\u201341"},{"key":"64_CR89","doi-asserted-by":"crossref","first-page":"572","DOI":"10.1016\/j.fss.2006.10.003","volume":"158","author":"W N\u00e4ther","year":"2007","unstructured":"N\u00e4ther W, W\u00e4lder K (2007) Applying fuzzy measures for considering interaction effects in root dispersal models. Fuzzy Sets Syst 158: 572\u2013582","journal-title":"Fuzzy Sets Syst"},{"key":"64_CR90","unstructured":"Pignon JP, Labreuche Ch (2007) A methodological approach for operational and technical experimentation based evaluation of systems of systems architectures. In: International conference on software & systems engineering and their applications (ICSSEA). Paris, December 4\u20136"},{"key":"64_CR91","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/j.dam.2004.06.025","volume":"147","author":"A Rico","year":"2005","unstructured":"Rico A, Grabisch M, Labreuche Ch, Chateauneuf A (2005) Preference modelling on totally ordered sets by the Sugeno integral. Discrete Appl Math 147: 113\u2013124","journal-title":"Discrete Appl Math"},{"key":"64_CR92","volume-title":"Measurement theory","author":"FS Roberts","year":"1979","unstructured":"Roberts FS (1979) Measurement theory. Addison-Wesley"},{"key":"64_CR93","first-page":"229","volume-title":"Aiding decisions with multiple criteria: essays in honor of Bernard Roy","author":"M Roubens","year":"2001","unstructured":"Roubens M (2001) Ordinal multiattribute sorting and ordering in the presence of interacting points of view. In: Bouyssou D, Jacquet-Lagr\u00e8ze E, Perny P, Slowinsky D, Vanderpooten R, Vincke Ph(eds) Aiding decisions with multiple criteria: essays in honor of Bernard Roy. Kluwer, Dordrecht, pp 229\u2013246"},{"issue":"1","key":"64_CR94","first-page":"17","volume":"1","author":"K Saito","year":"2007","unstructured":"Saito K, Watanabe Y, Hashimoto H, Uchiyama A (2007) An application of fuzzy integral model for the clinical diagnosis. J Biomed Fuzzy Syst Assoc 1(1): 17\u201324","journal-title":"J Biomed Fuzzy Syst Assoc"},{"issue":"2","key":"64_CR95","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1090\/S0002-9939-1986-0835875-8","volume":"97","author":"D Schmeidler","year":"1986","unstructured":"Schmeidler D (1986) Integral representation without additivity. Proc Am Math Soc 97(2): 255\u2013261","journal-title":"Proc Am Math Soc"},{"issue":"3","key":"64_CR96","doi-asserted-by":"crossref","first-page":"571","DOI":"10.2307\/1911053","volume":"57","author":"D Schmeidler","year":"1989","unstructured":"Schmeidler D (1989) Subjective probability and expected utility without additivity. Econometrica 57(3): 571\u2013587","journal-title":"Econometrica"},{"key":"64_CR97","first-page":"307","volume-title":"Contributions to the theory of games, vol. II, number 28 in annals of mathematics studies","author":"LS Shapley","year":"1953","unstructured":"Shapley LS (1953) A value for n-person games. In: Kuhn HW, Tucker AW(eds) Contributions to the theory of games, vol. II, number 28 in annals of mathematics studies. Princeton University Press, New Jersey, pp 307\u2013317"},{"issue":"2","key":"64_CR98","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1037\/h0042769","volume":"63","author":"H Simon","year":"1956","unstructured":"Simon H (1956) Rational choice and the structure of the environment. Psychol Rev 63(2): 129\u2013138","journal-title":"Psychol Rev"},{"issue":"1","key":"64_CR99","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1080\/01630568508816180","volume":"7","author":"I Singer","year":"1984","unstructured":"Singer I (1984) Extensions of functions of 0-1 variables and applications to combinatorial optimization. Numer Funct Anal Optim 7(1): 23\u201362","journal-title":"Numer Funct Anal Optim"},{"key":"64_CR100","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1017\/CBO9780511808098.025","volume-title":"Heuristics and biases: the psychology of intuitive judgment","author":"P Slovic","year":"2002","unstructured":"Slovic P, Finucane M, Peters E, MacGregor DG (2002) The affect heuristic. In: Gilovitch T, Griffin D, Kahneman D(eds) Heuristics and biases: the psychology of intuitive judgment. Cambridge University Press, Cambridge, pp 397\u2013420"},{"issue":"4","key":"64_CR101","first-page":"1005","volume":"31","author":"R S\u0142owi\u0144ski","year":"2002","unstructured":"S\u0142owi\u0144ski R, Greco S, Matarazzo B (2002) Axiomatization of utility, outranking and decision-rule preference models for multiple-criteria classification problems under partial inconsistency with the dominance principle. Control Cybern 31(4): 1005\u20131035","journal-title":"Control Cybern"},{"key":"64_CR102","doi-asserted-by":"crossref","unstructured":"Sugeno M (1973) Construction of fuzzy measures and evaluation of similarity patterns by fuzzy integral. Trans. S.I.C.E. (Keisoku Jid\u014dseigy\u014d Gakkai) 9:361\u2013368, 1973 (in japanese)","DOI":"10.9746\/sicetr1965.9.361"},{"key":"64_CR103","unstructured":"Sugeno M (1974) Theory of fuzzy integrals and its applications. PhD Thesis, Tokyo Institute of Technology"},{"key":"64_CR104","unstructured":"Sugeno M (1977) Fuzzy measures and fuzzy integrals\u2014a survey. In: Gupta MM, Saridis GN, Gaines BR (eds) Fuzzy automata and decision processes. North Holland, Amsterdam, pp 89\u2013102"},{"issue":"2","key":"64_CR105","doi-asserted-by":"crossref","first-page":"291","DOI":"10.3156\/jfuzzy.7.2_291","volume":"7","author":"M Sugeno","year":"1995","unstructured":"Sugeno M, Kwon SH (1995) A clusterwise regression-type model for subjective evaluation. J Japan Soc Fuzzy Theory Syst 7(2): 291\u2013310","journal-title":"J Japan Soc Fuzzy Theory Syst"},{"key":"64_CR106","unstructured":"Tanaka A, Murofushi T (1989) A learning model using fuzzy measures and the Choquet integral (in Japanese). In: 5th Fuzzy System Symposium. Kobe, June 1989, pp 213\u2013218"},{"key":"64_CR107","doi-asserted-by":"crossref","unstructured":"Torra V, Narukawa Y (2007) The h-index and the number of citations: two fuzzy integrals. IEEE Trans on Fuzzy Syst (to appear)","DOI":"10.1109\/TFUZZ.2007.896327"},{"key":"64_CR108","doi-asserted-by":"crossref","first-page":"297","DOI":"10.1007\/BF00122574","volume":"5","author":"A Tversky","year":"1992","unstructured":"Tversky A, Kahneman D (1992) Advances in prospect theory: cumulative representation of uncertainty. J Risk Uncertain 5: 297\u2013323","journal-title":"J Risk Uncertain"},{"key":"64_CR109","first-page":"141","volume":"29","author":"J \u0160ipo\u0161","year":"1979","unstructured":"\u0160ipo\u0161 J (1979) Integral with respect to a pre-measure. Math Slovaca 29: 141\u2013155","journal-title":"Math Slovaca"},{"key":"64_CR110","doi-asserted-by":"crossref","first-page":"462","DOI":"10.1016\/S0165-0114(98)00220-6","volume":"102","author":"Z Wang","year":"1999","unstructured":"Wang Z, Leung KS, Wang J (1999) A genetic algorithm for determining nonadditive set functions in information fusion. Fuzzy Sets Syst 102: 462\u2013469","journal-title":"Fuzzy Sets Syst"},{"key":"64_CR111","doi-asserted-by":"crossref","unstructured":"Wendling L, Tabbone S (2003) Recognition of arrows in line drawings based on the aggregation of geometric criteria using the choquet integral. In: Seventh international conference on document analysis and recognition\u2014ICDAR2003 . Edinburgh, August, pp 299\u2013303","DOI":"10.1109\/ICDAR.2003.1227677"},{"key":"64_CR112","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1109\/21.87068","volume":"18","author":"RR Yager","year":"1988","unstructured":"Yager RR (1988) On ordered weighted averaging aggregation operators in multicriteria decision making. IEEE Trans Syst Man Cybern 18: 183\u2013190","journal-title":"IEEE Trans Syst Man Cybern"}],"container-title":["4OR"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10288-007-0064-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10288-007-0064-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10288-007-0064-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,5,14]],"date-time":"2023-05-14T23:48:47Z","timestamp":1684108127000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10288-007-0064-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,11,28]]},"references-count":112,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2008,3]]}},"alternative-id":["64"],"URL":"https:\/\/doi.org\/10.1007\/s10288-007-0064-2","relation":{},"ISSN":["1619-4500","1614-2411"],"issn-type":[{"value":"1619-4500","type":"print"},{"value":"1614-2411","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,11,28]]}}}