{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T12:19:27Z","timestamp":1725538767668},"publisher-location":"Berlin, Heidelberg","reference-count":25,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783642317231"},{"type":"electronic","value":"9783642317248"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2012]]},"DOI":"10.1007\/978-3-642-31724-8_4","type":"book-chapter","created":{"date-parts":[[2012,7,21]],"date-time":"2012-07-21T15:32:34Z","timestamp":1342884754000},"page":"30-36","source":"Crossref","is-referenced-by-count":4,"title":["Distance\u2013Based Characterization of Inconsistency in Pairwise Comparisons"],"prefix":"10.1007","author":[{"given":"Michele","family":"Fedrizzi","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"4_CR1","doi-asserted-by":"publisher","first-page":"123","DOI":"10.1002\/(SICI)1099-1360(199805)7:3<123::AID-MCDA181>3.0.CO;2-8","volume":"7","author":"J. Barzilai","year":"1998","unstructured":"Barzilai, J.: Consistency measures for pairwise comparison matrices. Journal of Multi-Criteria Decision Analysis\u00a07, 123\u2013132 (1998)","journal-title":"Journal of Multi-Criteria Decision Analysis"},{"key":"4_CR2","unstructured":"Brunelli, M., Fedrizzi, M.: Characterizing properties of inconsistency indices for pairwise comparison matrices. Submitted to European Journal of Operational Research (2011)"},{"key":"4_CR3","unstructured":"Brunelli, M., Canal, L., Fedrizzi, M.: Inconsistency indices for pairwise comparison matrices: a numerical study. Submitted to Annals of Operations Research (2011)"},{"key":"4_CR4","doi-asserted-by":"publisher","first-page":"1035","DOI":"10.1002\/int.20438","volume":"25","author":"B. Cavallo","year":"2010","unstructured":"Cavallo, B., D\u2019Apuzzo, L.: Characterizations of Consistent Pairwise Comparison Matrices over Abelian Linearly Ordered Groups. International Journal of Intelligent Systems\u00a025, 1035\u20131059 (2010)","journal-title":"International Journal of Intelligent Systems"},{"key":"4_CR5","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1002\/int.21518","volume":"27","author":"B. Cavallo","year":"2012","unstructured":"Cavallo, B., D\u2019Apuzzo, L., Squillante, M.: About a consistency index for Pairwise Comparison Matrices over a divisible alo-group. International Journal of Intelligent Systems\u00a027, 153\u2013175 (2012)","journal-title":"International Journal of Intelligent Systems"},{"key":"4_CR6","doi-asserted-by":"publisher","first-page":"277","DOI":"10.1016\/S0165-0114(00)00004-X","volume":"122","author":"F. Chiclana","year":"2001","unstructured":"Chiclana, F., Herrera, F., Herrera-Viedma, H.: Integrating multiplicative preference relations in a multipurpose decision-making model based on fuzzy preference relations. Fuzzy Sets and Systems\u00a0122, 277\u2013291 (2001)","journal-title":"Fuzzy Sets and Systems"},{"key":"4_CR7","doi-asserted-by":"publisher","first-page":"893","DOI":"10.1016\/S0305-0548(03)00042-X","volume":"31","author":"E.U. Choo","year":"2004","unstructured":"Choo, E.U., Wedley, W.C.: A common framework for deriving preference values from pairwise comparison matrices. Computers and Operations Research\u00a031, 893\u2013908 (2004)","journal-title":"Computers and Operations Research"},{"key":"4_CR8","doi-asserted-by":"publisher","first-page":"321","DOI":"10.1007\/BF00933438","volume":"27","author":"A.T.W. Chu","year":"1979","unstructured":"Chu, A.T.W., Kalaba, R.E., Springarn, K.: A comparison of two methods for determining the weights of belonging to fuzzy sets. Journal of Optimization Theory and Applications\u00a027, 321\u2013538 (1979)","journal-title":"Journal of Optimization Theory and Applications"},{"key":"4_CR9","doi-asserted-by":"publisher","first-page":"155","DOI":"10.1016\/S0024-3795(97)00329-7","volume":"272","author":"M.T. Chu","year":"1998","unstructured":"Chu, M.T.: On the optimal consistent approximation to pairwise comparison matrices. Linear Algebra and its Applications\u00a0272, 155\u2013168 (1998)","journal-title":"Linear Algebra and its Applications"},{"key":"4_CR10","doi-asserted-by":"publisher","first-page":"355","DOI":"10.1016\/0377-2217(88)90198-1","volume":"37","author":"W.D. Cook","year":"1988","unstructured":"Cook, W.D., Kress, M.: Deriving weights from pairwise comparison ratio matrices: An axiomatic approach. European Journal of Operational Research\u00a037, 355\u2013362 (1988)","journal-title":"European Journal of Operational Research"},{"key":"4_CR11","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1016\/0022-2496(85)90002-1","volume":"29","author":"G. Crawford","year":"1985","unstructured":"Crawford, G., Williams, C.: A note on the analysis of subjective judgement matrices. Journal of Mathematical Psychology\u00a029, 25\u201340 (1985)","journal-title":"Journal of Mathematical Psychology"},{"key":"4_CR12","series-title":"Series B: Mathematical and Statistical Methods","doi-asserted-by":"publisher","first-page":"231","DOI":"10.1007\/978-94-009-2109-2_20","volume-title":"Multiperson Decision Making Models using Fuzzy Sets and Possibility Theory, Theory and Decision Library","author":"M. Fedrizzi","year":"1990","unstructured":"Fedrizzi, M.: On a consensus measure in a group MCDM problem. In: Kacprzyk, J., Fedrizzi, M. (eds.) Multiperson Decision Making Models using Fuzzy Sets and Possibility Theory, Theory and Decision Library. Series B: Mathematical and Statistical Methods, vol.\u00a018, pp. 231\u2013241. Kluwer Academic Publ., Dortrecht (1990), \n                    \n                      http:\/\/www.unitn.it\/files\/download\/10528\/9_2010.pdf"},{"key":"4_CR13","series-title":"STUDFUZZ","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1007\/978-3-7908-1797-3_10","volume-title":"Technologies for Constructing Intelligent Systems","author":"M. Fedrizzi","year":"2002","unstructured":"Fedrizzi, M., Fedrizzi, M., Marques Pereira, R.A.: On the issue of consistency in dynamical consensual aggregation. In: Bouchon Meunier, B., Gutierrez Rios, J., Magdalena, L., Yager, R.R. (eds.) Technologies for Constructing Intelligent Systems. STUDFUZZ, vol.\u00a089, pp. 129\u2013137. Springer, Heidelberg (2002)"},{"key":"4_CR14","unstructured":"Fichtner, J.: Some thoughts about the mathematics of the analytic hierarchy process. Report 8403, Institut f\u00fcr Angewandte Systemforschung und Operations Research, Hochschule der Bundeswehr M\u00fcnchen (1984)"},{"key":"4_CR15","doi-asserted-by":"publisher","first-page":"341","DOI":"10.1016\/0038-0121(86)90045-5","volume":"20","author":"J. Fichtner","year":"1986","unstructured":"Fichtner, J.: On deriving priority vectors from matrices of pairwise comparisons. Socio\u2013Econ. Plann. Sci.\u00a020, 341\u2013345 (1986)","journal-title":"Socio\u2013Econ. Plann. Sci."},{"key":"4_CR16","unstructured":"Gantmacher, F.R.: The theory of matrices, Chelsea, vol.\u00a01 (1959)"},{"key":"4_CR17","doi-asserted-by":"publisher","first-page":"68","DOI":"10.1007\/978-3-642-50244-6_5","volume-title":"The Analythic Hierarchy Process, Applications and Studies","author":"B.L. Golden","year":"1989","unstructured":"Golden, B.L., Wang, Q.: An alternate measure of consistency. In: Golden, B.L., Wasil, E.A., Harker, P.T. (eds.) The Analythic Hierarchy Process, Applications and Studies, pp. 68\u201381. Springer, Heidelberg (1989)"},{"key":"4_CR18","doi-asserted-by":"publisher","first-page":"79","DOI":"10.1016\/0895-7177(93)90059-8","volume":"18","author":"W.W. Koczkodaj","year":"1993","unstructured":"Koczkodaj, W.W.: A new definition of consistency or pairwise comparisons. Mathematical & Computer Modelling\u00a018, 79\u201384 (1993)","journal-title":"Mathematical & Computer Modelling"},{"key":"4_CR19","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1016\/S0898-1221(97)00205-8","volume":"34","author":"W.W. Koczkodaj","year":"1997","unstructured":"Koczkodaj, W.W., Orlowski, M.: An orthogonal basis for computing a consistent approximation to a pairwise comparison matrix. Computers Math. Applic.\u00a034, 41\u201347 (1997)","journal-title":"Computers Math. Applic."},{"key":"4_CR20","doi-asserted-by":"publisher","first-page":"1839","DOI":"10.1016\/S0898-1221(03)90240-9","volume":"46","author":"J.I. Pel\u00e1ez","year":"2003","unstructured":"Pel\u00e1ez, J.I., Lamata, M.T.: A new measure of consistency for positive reciprocal matrices. Computers and Mathematics with Applications\u00a046, 1839\u20131845 (2003)","journal-title":"Computers and Mathematics with Applications"},{"key":"4_CR21","doi-asserted-by":"publisher","first-page":"1604","DOI":"10.1016\/j.fss.2009.10.011","volume":"161","author":"J. Ram\u00edk","year":"2010","unstructured":"Ram\u00edk, J., Korviny, P.: Inconsistency of pair-wise comparison matrix with fuzzy elements on the geometric mean. Fuzzy Sets and Systems\u00a0161, 1604\u20131613 (2010)","journal-title":"Fuzzy Sets and Systems"},{"key":"4_CR22","doi-asserted-by":"publisher","first-page":"426","DOI":"10.1016\/0377-2217(94)90222-4","volume":"74","author":"T.L. Saaty","year":"1994","unstructured":"Saaty, T.L.: Highlights and critical points in the theory and application of the Analytic Hierarchy Process. European Journal of Operational Research\u00a074, 426\u2013447 (1994)","journal-title":"European Journal of Operational Research"},{"key":"4_CR23","doi-asserted-by":"publisher","first-page":"234","DOI":"10.1016\/0022-2496(77)90033-5","volume":"15","author":"T.L. Saaty","year":"1977","unstructured":"Saaty, T.L.: A scaling method for priorities in hierarchical structures. Journal of Mathematical Psychology\u00a015, 234\u2013281 (1977)","journal-title":"Journal of Mathematical Psychology"},{"key":"4_CR24","doi-asserted-by":"crossref","first-page":"404","DOI":"10.15807\/jorsj.41.404","volume":"41","author":"S. Shiraishi","year":"1998","unstructured":"Shiraishi, S., Obata, T., Daigo, M.: Properties of a positive reciprocal matrix and their application to AHP. Journal of the Operations Research Society of Japan\u00a041, 404\u2013414 (1998)","journal-title":"Journal of the Operations Research Society of Japan"},{"key":"4_CR25","doi-asserted-by":"publisher","first-page":"488","DOI":"10.1016\/j.ejor.2005.10.057","volume":"177","author":"W.E. Stein","year":"2007","unstructured":"Stein, W.E., Mizzi, P.J.: The harmonic consistency index for the analythic hierarchy process. European Journal of Operational Research\u00a0177, 488\u2013497 (2007)","journal-title":"European Journal of Operational Research"}],"container-title":["Communications in Computer and Information Science","Advances in Computational Intelligence"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-642-31724-8_4.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,5,4]],"date-time":"2021-05-04T11:46:09Z","timestamp":1620128769000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-642-31724-8_4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012]]},"ISBN":["9783642317231","9783642317248"],"references-count":25,"URL":"https:\/\/doi.org\/10.1007\/978-3-642-31724-8_4","relation":{},"ISSN":["1865-0929","1865-0937"],"issn-type":[{"type":"print","value":"1865-0929"},{"type":"electronic","value":"1865-0937"}],"subject":[],"published":{"date-parts":[[2012]]}}}