{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,4,6]],"date-time":"2023-04-06T15:13:22Z","timestamp":1680794002537},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2016,2,9]],"date-time":"2016-02-09T00:00:00Z","timestamp":1454976000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Fuzzy Optim Decis Making"],"published-print":{"date-parts":[[2016,12]]},"DOI":"10.1007\/s10700-016-9233-0","type":"journal-article","created":{"date-parts":[[2016,2,9]],"date-time":"2016-02-09T08:32:26Z","timestamp":1455006746000},"page":"457-489","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Intuitionistic fuzzy linear programming and duality: a level sets approach"],"prefix":"10.1007","volume":"15","author":[{"given":"Jaroslav","family":"Ram\u00edk","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Milan","family":"Vlach","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2016,2,9]]},"reference":[{"key":"9233_CR1","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0165-0114(86)80034-3","volume":"20","author":"KT Atanassov","year":"1986","unstructured":"Atanassov, K. T. (1986). Intutionistic fuzzy sets. Fuzzy Sets and Systems, 20, 87\u201396.","journal-title":"Fuzzy Sets and Systems"},{"key":"9233_CR2","doi-asserted-by":"crossref","first-page":"317","DOI":"10.1016\/S0165-0114(00)00122-6","volume":"125","author":"CR Bector","year":"2002","unstructured":"Bector, C. R., & Chandra, C. (2002). On duality in linear programming under fuzzy environment. Fuzzy Sets and Systems, 125, 317\u2013325.","journal-title":"Fuzzy Sets and Systems"},{"key":"9233_CR3","doi-asserted-by":"crossref","first-page":"B141","DOI":"10.1287\/mnsc.17.4.B141","volume":"17","author":"RE Bellman","year":"1970","unstructured":"Bellman, R. E., & Zadeh, L. E. (1970). Decision making in a fuzzy environment. Management Science, 17, B141\u2013B164.","journal-title":"Management Science"},{"key":"9233_CR4","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/j.fss.2011.06.003","volume":"184","author":"D Dubois","year":"2011","unstructured":"Dubois, D. (2011). The role of fuzzy sets in decision sciences: Old techniques and new directions. Fuzzy Sets and Systems, 184, 3\u201328.","journal-title":"Fuzzy Sets and Systems"},{"issue":"1","key":"9233_CR5","doi-asserted-by":"crossref","first-page":"68","DOI":"10.1016\/j.fss.2011.09.008","volume":"188","author":"D Dubey","year":"2012","unstructured":"Dubey, D., Chandra, S., & Mehra, A. (2012). Fuzzy linear programming under interval uncertainty based on IFS representation. Fuzzy Sets and Systems, 188(1), 68\u201387.","journal-title":"Fuzzy Sets and Systems"},{"key":"9233_CR6","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/0020-0255(83)90025-7","volume":"30","author":"D Dubois","year":"1983","unstructured":"Dubois, D., & Prade, H. (1983). Ranking fuzzy numbers in the setting of possibility theory. Information Sciences, 30, 183\u2013224.","journal-title":"Information Sciences"},{"key":"9233_CR7","unstructured":"Dubois, D. (1987). Linear programming with fuzzy data. In J. Bezdek (Ed.), Analysis of fuzzy information. USA: CRC Press\u2014Technology and Engineering Taylor and Francis Group."},{"issue":"3","key":"9233_CR8","doi-asserted-by":"crossref","first-page":"485","DOI":"10.1016\/j.fss.2005.06.001","volume":"156","author":"D Dubois","year":"2005","unstructured":"Dubois, D., Gottwald, S., Hajek, P., Kacprzyk, J., & Prade, H. (2005). Terminological difficulties in fuzzy set theory the case of intuitionistic fuzzy sets. Fuzzy Sets and Systems, 156(3), 485\u2013491.","journal-title":"Fuzzy Sets and Systems"},{"key":"9233_CR9","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s10700-013-9176-7","volume":"13","author":"SK Gupta","year":"2014","unstructured":"Gupta, S. K., & Dangar, D. (2014). Duality for a class of fuzzy nonlinear optimization problem under generalized convexity. Fuzzy Optimization and Decision Making, 13, 131\u2013150.","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"9233_CR10","doi-asserted-by":"crossref","first-page":"269","DOI":"10.1016\/0165-0114(78)90018-0","volume":"1","author":"H Hamacher","year":"1978","unstructured":"Hamacher, H., Lieberling, H., & Zimmermann, H.-J. (1978). Sensitivity analysis in fuzzy linear programming. Fuzzy Sets and Systems, 1, 269\u2013281.","journal-title":"Fuzzy Sets and Systems"},{"key":"9233_CR11","unstructured":"Inuiguchi, M. (2007). On possibilistic\/fuzzy optimization: Foundations of fuzzy logic and soft computing. In P. Melin et al. (Eds.) Proceedings LNAI4529 12th International fuzzy systems association world congress IFSA (pp. 351\u2013360). Mexico: Cancun."},{"key":"9233_CR12","doi-asserted-by":"crossref","first-page":"187","DOI":"10.1016\/0020-0255(92)90050-I","volume":"61","author":"M Inuiguchi","year":"1992","unstructured":"Inuiguchi, M., Ichihashi, H., & Kume, Y. (1992). Some properties of extended fuzzy preference relations using modalities. Information Sciences, 61, 187\u2013209.","journal-title":"Information Sciences"},{"issue":"3","key":"9233_CR13","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/0165-0114(92)90277-B","volume":"49","author":"M Inuiguchi","year":"1992","unstructured":"Inuiguchi, M., Ichihashi, H., & Kume, Y. (1992). Relationships between modality constrained programming problems and various fuzzy mathematical programming problems. Fuzzy Sets and Systems, 49(3), 243\u2013259.","journal-title":"Fuzzy Sets and Systems"},{"key":"9233_CR14","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1016\/S0165-0114(02)00253-1","volume":"135","author":"M Inuiguchi","year":"2003","unstructured":"Inuiguchi, M., Ram\u00edk, J., Tanino, T., & Vlach, M. (2003). Satisficing solutions and duality in interval and fuzzy linear programming. Fuzzy Sets and Systems, 135, 151\u2013177.","journal-title":"Fuzzy Sets and Systems"},{"key":"9233_CR15","unstructured":"Kuhn H. W. (1976). Nonlinear programming: A historical view. In Proceedings SIAM\u2013AMS, vol. 9 (pp.1\u201326). Rhode Island: AMS Providence."},{"key":"9233_CR16","doi-asserted-by":"crossref","unstructured":"Mielcova, E. (2015). Ordering relations over intuitionistic fuzzy quantities: Lecture notes in computer science. In I. Rojas, G. Joya, A. Catala (Ed.), International Work\u2014Conference on Artificial Neural Networks (advances in computational intelligence) IWANN.","DOI":"10.1007\/978-3-319-19258-1_48"},{"issue":"2","key":"9233_CR17","first-page":"204","volume":"72","author":"AL Nachammai","year":"2012","unstructured":"Nachammai, A. L., & Thangaraj, P. (2012). Solving intuitionistic fuzzy linear programming problem by using similarity measures. European Journal of Scientific Research, 72(2), 204\u2013210.","journal-title":"European Journal of Scientific Research"},{"key":"9233_CR18","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/0165-0114(92)90021-U","volume":"51","author":"DA Ralescu","year":"1992","unstructured":"Ralescu, D. A. (1992). A generalization of the representation theorem. Fuzzy Sets and Systems, 51, 309\u2013311.","journal-title":"Fuzzy Sets and Systems"},{"key":"9233_CR19","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1007\/s10700-004-5568-z","volume":"4","author":"J Ram\u00edk","year":"2005","unstructured":"Ram\u00edk, J. (2005). Duality in fuzzy linear programming: Some new concepts and results. Fuzzy Optimization and Decision Making, 4, 25\u201339.","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"9233_CR20","doi-asserted-by":"crossref","first-page":"1283","DOI":"10.1016\/j.fss.2005.11.022","volume":"157","author":"J Ram\u00edk","year":"2006","unstructured":"Ram\u00edk, J. (2006). Duality in fuzzy linear programming with possibility and necessity relations. Fuzzy Sets and Systems, 157, 1283\u20131302.","journal-title":"Fuzzy Sets and Systems"},{"key":"9233_CR21","volume-title":"Generalized concavity in optimization and decision making","author":"J Ram\u00edk","year":"2001","unstructured":"Ram\u00edk, J., & Vlach, M. (2001). Generalized concavity in optimization and decision making. Boston, Dordrecht: Kluwer."},{"key":"9233_CR22","doi-asserted-by":"crossref","unstructured":"Ram\u00edk, J., & Vlach, M. (2004). A non-controversial definition of fuzzy sets. Transactions on rough sets II: Rough sets and fuzzy sets (pp. 201\u2013207). Berlin, Heidelberg: Springer.","DOI":"10.1007\/978-3-540-27778-1_11"},{"key":"9233_CR23","unstructured":"R\u00f6dder, W., & Zimmermann, H.-J. (1980). Extremal methods and system analysis: Duality in fuzzy linear programming (pp. 415\u2013429). New York: Berlin."},{"key":"9233_CR24","unstructured":"Rommelfanger, H., Slowinski, R. (1998). Fuzzy linear programming with single or multiple objective functions: The handbooks of fuzzy sets series. Fuzzy sets in decision analysis, operations research, and statistics.179\u2013213. Boston-Dordrecht-London: Kluwer."},{"key":"9233_CR25","doi-asserted-by":"crossref","first-page":"892","DOI":"10.1287\/opre.22.4.892","volume":"22","author":"AL Soyster","year":"1974","unstructured":"Soyster, A. L. (1974). A duality theory for convex programming with set-inclusive constraints. Operations Research, 22, 892\u2013898.","journal-title":"Operations Research"},{"key":"9233_CR26","doi-asserted-by":"crossref","first-page":"654675","DOI":"10.1016\/S0377-2217(02)00449-6","volume":"149","author":"C Stanciulescu","year":"2003","unstructured":"Stanciulescu, C., Fortemps, P., Install, M., & Wertz, V. (2003). Multiobjective fuzzy linear programming problems with fuzzy decision variables. European Journal of Operational Research, 149, 654675.","journal-title":"European Journal of Operational Research"},{"key":"9233_CR27","doi-asserted-by":"crossref","first-page":"1005","DOI":"10.1287\/opre.28.4.1005","volume":"28","author":"DJ Thuente","year":"1980","unstructured":"Thuente, D. J. (1980). Duality theory for generalized linear programs with computational methods. Operations Research, 28, 1005\u20131011.","journal-title":"Operations Research"},{"key":"9233_CR28","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1016\/0165-0114(84)90096-4","volume":"14","author":"JL Verdegay","year":"1984","unstructured":"Verdegay, J. L. (1984). A dual approach to solve the fuzzy linear programming problem. Fuzzy Sets and Systems, 14, 131\u2013141.","journal-title":"Fuzzy Sets and Systems"},{"key":"9233_CR29","doi-asserted-by":"crossref","first-page":"61","DOI":"10.1023\/A:1022852314914","volume":"2","author":"H-C Wu","year":"2003","unstructured":"Wu, H.-C. (2003). Duality theory in fuzzy linear programming problems with fuzzy coefficients. Fuzzy Optimization and Decision Making, 2, 61\u201373.","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"9233_CR30","doi-asserted-by":"crossref","first-page":"67","DOI":"10.1007\/s10700-009-9052-7","volume":"8","author":"RR Yager","year":"2009","unstructured":"Yager, R. R. (2009). Some aspects of intuitionistic fuzzy sets. Fuzzy Optimization and Decision Making, 8, 67\u201390.","journal-title":"Fuzzy Optimization and Decision Making"},{"key":"9233_CR31","doi-asserted-by":"crossref","first-page":"338","DOI":"10.1016\/S0019-9958(65)90241-X","volume":"8","author":"LA Zadeh","year":"1965","unstructured":"Zadeh, L. A. (1965). Fuzzy sets. Information and Control, 8, 338\u2013353.","journal-title":"Information and Control"},{"key":"9233_CR32","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0165-0114(78)90031-3","volume":"1","author":"H-J Zimmermann","year":"1978","unstructured":"Zimmermann, H.-J. (1978). Fuzzy programming and linear programming with several objective functions. Fuzzy Sets and Systems, 1, 45\u201355.","journal-title":"Fuzzy Sets and Systems"}],"container-title":["Fuzzy Optimization and Decision Making"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-016-9233-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10700-016-9233-0\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-016-9233-0.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10700-016-9233-0","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T22:01:19Z","timestamp":1559253679000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10700-016-9233-0"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2,9]]},"references-count":32,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2016,12]]}},"alternative-id":["9233"],"URL":"https:\/\/doi.org\/10.1007\/s10700-016-9233-0","relation":{},"ISSN":["1568-4539","1573-2908"],"issn-type":[{"value":"1568-4539","type":"print"},{"value":"1573-2908","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,2,9]]}}}