{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,23]],"date-time":"2026-03-23T19:36:18Z","timestamp":1774294578225,"version":"3.50.1"},"reference-count":111,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[2000,4,1]],"date-time":"2000-04-01T00:00:00Z","timestamp":954547200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Fuzzy Sets and Systems"],"published-print":{"date-parts":[[2000,4]]},"DOI":"10.1016\/s0165-0114(98)00449-7","type":"journal-article","created":{"date-parts":[[2002,7,25]],"date-time":"2002-07-25T18:12:49Z","timestamp":1027620769000},"page":"3-28","source":"Crossref","is-referenced-by-count":617,"title":["Possibilistic linear programming: a brief review of fuzzy mathematical programming and a comparison with stochastic programming in portfolio selection problem"],"prefix":"10.1016","volume":"111","author":[{"given":"Masahiro","family":"Inuiguchi","sequence":"first","affiliation":[]},{"given":"Jaroslav","family":"Ram\u0131\u0301k","sequence":"additional","affiliation":[]}],"member":"78","reference":[{"key":"10.1016\/S0165-0114(98)00449-7_BIB1","doi-asserted-by":"crossref","first-page":"B141","DOI":"10.1287\/mnsc.17.4.B141","article-title":"Decision-making in a fuzzy environment","volume":"17","author":"Bellman","year":"1970","journal-title":"Management Sci."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB2","doi-asserted-by":"crossref","first-page":"245","DOI":"10.1016\/0165-0114(87)90070-4","article-title":"Least square model fitting to fuzzy vector data","volume":"22","author":"Celmi\u0161","year":"1987","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB3","doi-asserted-by":"crossref","first-page":"181","DOI":"10.1002\/nav.3800090303","article-title":"Programming with linear fractional criteria","volume":"9","author":"Charnes","year":"1962","journal-title":"Naval Res. Logist. Quart."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB4","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1214\/aoms\/1177698950","article-title":"Upper and lower probabilities induced by a multivalued mapping","volume":"38","author":"Dempster","year":"1967","journal-title":"Ann. Math. Stat."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB5","series-title":"Analysis of Fuzzy Information vol. III","first-page":"241","article-title":"Linear programming with fuzzy data","author":"Dubois","year":"1987"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB6","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/BF00128646","article-title":"Fuzzy constraints in job-shop scheduling","volume":"6","author":"Dubois","year":"1995","journal-title":"J. Intelligent Manufacturing"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB7","doi-asserted-by":"crossref","first-page":"287","DOI":"10.1007\/BF00132735","article-title":"Possibility theory in constraint satisfaction problems: Handling priority, preference and uncertainty","volume":"6","author":"Dubois","year":"1996","journal-title":"Appl. Intelligence"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB8","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1016\/0165-0114(80)90004-4","article-title":"Systems of linear fuzzy constraints","volume":"3","author":"Dubois","year":"1980","journal-title":"Fuzzy Sets and Systems"},{"issue":"4","key":"10.1016\/S0165-0114(98)00449-7_BIB9","doi-asserted-by":"crossref","first-page":"926","DOI":"10.1109\/TAC.1981.1102744","article-title":"Additions of interactive fuzzy numbers","volume":"AC-26","author":"Dubois","year":"1981","journal-title":"IEEE Trans. Automat. Control"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB10","doi-asserted-by":"crossref","first-page":"43","DOI":"10.1080\/03081078208934833","article-title":"A class of fuzzy measures based on triangular norms: a general framework for the combination of uncertain information","volume":"8","author":"Dubois","year":"1982","journal-title":"Int. J. General Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB11","doi-asserted-by":"crossref","first-page":"183","DOI":"10.1016\/0020-0255(83)90025-7","article-title":"Ranking fuzzy numbers in the setting of possibility theory","volume":"30","author":"Dubois","year":"1983","journal-title":"Inform. Sci."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB12","series-title":"Analysis of Fuzzy Information, vol. I","first-page":"3","article-title":"Fuzzy numbers: An overview","author":"Dubois","year":"1987"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB13","doi-asserted-by":"crossref","first-page":"279","DOI":"10.1016\/0165-0114(87)90028-5","article-title":"The mean value of a fuzzy number","volume":"24","author":"Dubois","year":"1987","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB14","series-title":"Possibility Theory","author":"Dubois","year":"1988"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB15","series-title":"Practical Methods of Optimization","author":"Fletcher","year":"1987"},{"issue":"9","key":"10.1016\/S0165-0114(98)00449-7_BIB16","doi-asserted-by":"crossref","first-page":"672","DOI":"10.1287\/mnsc.13.9.672","article-title":"Stochastic programming with aspiration or fractile criteria","volume":"13","author":"Geoffrion","year":"1967","journal-title":"Management Sci."},{"issue":"3","key":"10.1016\/S0165-0114(98)00449-7_BIB17","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1287\/ijoc.1.3.190","article-title":"Tabu search \u2013 Part I","volume":"1","author":"Glover","year":"1989","journal-title":"ORSA J. Comput."},{"issue":"1","key":"10.1016\/S0165-0114(98)00449-7_BIB18","doi-asserted-by":"crossref","first-page":"4","DOI":"10.1287\/ijoc.2.1.4","article-title":"Tabu search \u2013 Part II","volume":"2","author":"Glover","year":"1990","journal-title":"ORSA J. Comput."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB19","unstructured":"D. Goldfarb, M.J. Todd, Linear Programming, in: G.L. Nemhauser et al. (Eds.), Handbooks in Operations Research and Management Science: vol. 1, Optimization, North-Holland, Amsterdam, 1989, pp. 73\u2013170."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB20","doi-asserted-by":"crossref","unstructured":"P. Guo, H. Tanaka, Fuzzy decision in possibility programming problems, Proc. Asian Fuzzy System Symp., 1996, pp. 278\u2013283.","DOI":"10.1109\/AFSS.1996.583604"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB21","series-title":"Statistical Theory with Engineering Applications","author":"Hald","year":"1952"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB22","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0377-2217(94)90391-3","article-title":"One machine scheduling problem with fuzzy duedates","volume":"79","author":"Han","year":"1994","journal-title":"European J. Oper. Res."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB23","unstructured":"M. Hapke, R. S\u0142owinski, Fuzzy scheduling under resource constraints, Proc. European Workshop on Fuzzy Decision Analysis for Management, Planning and Optimization, 1996, pp. 121\u2013126."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB24","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1016\/0165-0114(93)90254-F","article-title":"Boolean programming problems with fuzzy constraints","volume":"55","author":"Herrera","year":"1993","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB25","doi-asserted-by":"crossref","first-page":"581","DOI":"10.1016\/0377-2217(93)E0338-X","article-title":"Three models of fuzzy integer linear programming","volume":"83","author":"Herrera","year":"1995","journal-title":"European J. Oper. Res."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB26","doi-asserted-by":"crossref","first-page":"57","DOI":"10.1016\/0165-0114(94)00324-6","article-title":"Fuzzy boolean programming problems with fuzzy costs: A general case study","volume":"81","author":"Herrera","year":"1996","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB27","doi-asserted-by":"crossref","unstructured":"M. Ida, Optimality on possibilistic linear programming with normal possibility distribution coefficient, J. Japan Soc. Fuzzy Theory and Systems 7(3) (1990) 594\u2013601 (in Japanese).","DOI":"10.3156\/jfuzzy.7.3_594"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB28","doi-asserted-by":"crossref","unstructured":"M. Inuiguchi, Stochastic programming problems versus fuzzy mathematical programming problems, Japanese J. Fuzzy Theory Systems 4(1) (1992) 97\u2013109. The original Japanese version is appeared in J. Japan Soc. Fuzzy Theory and Systems 4(1) (1992) 21\u201330.","DOI":"10.3156\/jfuzzy.4.1_21"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB29","doi-asserted-by":"crossref","first-page":"303","DOI":"10.1016\/0165-0114(90)90004-P","article-title":"Relative modalities and their use in possibilistic linear programming","volume":"35","author":"Inuiguchi","year":"1990","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB30","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/0165-0114(92)90277-B","article-title":"Relationships between modality constrained programming problems and various fuzzy mathematical programming problems","volume":"49","author":"Inuiguchi","year":"1992","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB31","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1016\/0020-0255(93)90086-2","article-title":"Modality constrained programming problems: A unified approach to fuzzy mathematical programming problems in the setting of possibility theory","volume":"67","author":"Inuiguchi","year":"1993","journal-title":"Inform. Sci."},{"issue":"3","key":"10.1016\/S0165-0114(98)00449-7_BIB32","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1287\/ijoc.1.3.146","article-title":"Possibilistic linear programming with measurable multiattribute value functions","volume":"1","author":"Inuiguchi","year":"1989","journal-title":"ORSA J. Comput."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB33","series-title":"Stochastic Versus Fuzzy Approaches to Multiobjective Programming under Uncertainty","first-page":"45","article-title":"Fuzzy programming: a survey of recent developments","author":"Inuiguchi","year":"1990"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB34","doi-asserted-by":"crossref","unstructured":"M. Inuiguchi, Y. Kume, Extensions of fuzzy relations considering interaction between possibility distributions and an application to fuzzy linear program, Trans. Inst. Systems Control Inform. Eng. 3(4) (1990) 93\u2013102 (in Japanese).","DOI":"10.5687\/iscie.3.93"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB35","doi-asserted-by":"crossref","unstructured":"M. Inuiguchi, Y. Kume, Solution concepts for fuzzy multiple objective programming problems, Japanese J. Fuzzy Theory Systems 2(1) (1990) 1\u201322. The original Japanese version is appeared in J. Japan Soc. Fuzzy Theory and Systems 2(1) (1990) 65\u201378.","DOI":"10.3156\/jfuzzy.2.1_65"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB36","doi-asserted-by":"crossref","unstructured":"M. Inuiguchi, Y. Kume, Modality constrained programming problems introduced G\u00f6del implication and various fuzzy mathematical programming problems, Trans. Inst. Systems, Control Inform. Eng. 4(9) (1991) 382\u2013392 (in Japanese).","DOI":"10.5687\/iscie.4.382"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB37","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/0165-0114(94)90206-2","article-title":"Possible and necessary optimality tests in possibilistic linear programming problems","volume":"67","author":"Inuiguchi","year":"1994","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB38","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1016\/0165-0114(94)00364-7","article-title":"A possibilistic linear program is equivalent to a stochastic linear program in a special case","volume":"76","author":"Inuiguchi","year":"1995","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB39","doi-asserted-by":"crossref","first-page":"526","DOI":"10.1016\/0377-2217(94)00092-Q","article-title":"Minimax regret solutions to linear programming problems with an interval objective function","volume":"86","author":"Inuiguchi","year":"1995","journal-title":"European J. Oper. Res."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB40","doi-asserted-by":"crossref","unstructured":"M. Inuiguchi, M. Sakawa, Portfolio selection under independent possibilistic information, Proc. 5th IEEE Internat. Conf. on Fuzzy Systems, 1996, pp. 187\u2013193.","DOI":"10.1109\/FUZZY.1996.551740"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB41","unstructured":"M. Inuiguchi, M. Sakawa, Robust soft optimization in a fuzzy linear programming problem, Proc. European Workshop on Fuzzy Decision Analysis for Management, Planning and Optimization, 1996, pp. 85\u201390."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB42","doi-asserted-by":"crossref","first-page":"231","DOI":"10.1016\/0165-0114(95)00169-7","article-title":"Possible and necessary efficiency in possibilistic multiobjective linear programming problems and possible efficiency test","volume":"78","author":"Inuiguchi","year":"1996","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB43","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1057\/palgrave.jors.2600322","article-title":"An achievement rate approach to linear programming problems with an interval objective function","volume":"48","author":"Inuiguchi","year":"1997","journal-title":"J. Oper. Res. Soc."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB44","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0925-5273(94)90117-1","article-title":"The usefulness of possibilistic programming in production planning problems","volume":"33","author":"Inuiguchi","year":"1994","journal-title":"Int. J. Prod. Economics"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB45","unstructured":"M. Inuiguchi, T. Tanino, M. Sakawa, Membership function elicitation in possibilistic programming problems, Fuzzy Sets and Systems, this special issue."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB46","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1016\/0925-5273(94)90118-X","article-title":"Local search algorithms for flow shop scheduling with fuzzy due-dates","volume":"33","author":"Ishibuchi","year":"1994","journal-title":"Int. J. Prod. Economics"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB47","doi-asserted-by":"crossref","first-page":"81","DOI":"10.1016\/0165-0114(94)90210-0","article-title":"Genetic algorithms and neighborhood search algorithms for fuzzy flowshop scheduling problems","volume":"67","author":"Ishibuchi","year":"1994","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB48","doi-asserted-by":"crossref","first-page":"339","DOI":"10.1016\/0165-0114(92)90372-B","article-title":"Two scheduling problems with fuzzy due-dates","volume":"46","author":"Ishii","year":"1992","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB49","series-title":"Stochastic Programming","author":"Kall","year":"1994"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB50","unstructured":"H. Katagiri, H. Ishii, T. Itoh, Fuzzy random linear programming problem, Proc. 2nd European Workshop on Fuzzy Decision Analysis for Management, Planning and Optimization, 1997, pp. 107\u2013115."},{"issue":"1\u20132","key":"10.1016\/S0165-0114(98)00449-7_BIB51","doi-asserted-by":"crossref","first-page":"181","DOI":"10.2307\/1910956","article-title":"A stochastic programming model","volume":"31","author":"Kataoka","year":"1963","journal-title":"Econometrica"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB52","first-page":"51","article-title":"Stochastic programming: Maximum probability model","volume":"8","author":"Kataoka","year":"1967","journal-title":"Hitotsubashi J. Arts Sci."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB53","doi-asserted-by":"crossref","unstructured":"K. Kato, M. Sakawa, Genetic algorithms with decomposition procedures for fuzzy multiobjective 0\u20131 programming problems with block angular structure, Proc. IEEE Internat. Conf. on Evolutionary Computation, 1996, pp. 706\u2013709.","DOI":"10.1109\/ICEC.1996.542688"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB54","doi-asserted-by":"crossref","first-page":"141","DOI":"10.1016\/0165-0114(87)90087-X","article-title":"Where do we stand on measures of uncertainty, ambiguity, fuzziness, and the like","volume":"24","author":"Klir","year":"1987","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB55","series-title":"Simulated Annealing: Theory and Applications","author":"van Laarhiven","year":"1987"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB56","doi-asserted-by":"crossref","unstructured":"Y.J. Lai, C.L. Hwang, Fuzzy Mathematical Programming: Theory and Applications, Lecture Notes in Economics and Mathematical Systems, vol. 394, Springer, Berlin, 1992.","DOI":"10.1007\/978-3-642-48753-8"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB57","doi-asserted-by":"crossref","unstructured":"Y.J. Lai, C.L. Hwang, Multi-Objective Fuzzy Mathematical Programming: Theory and Applications, Lecture Notes in Economics and Mathematical Systems, vol. 404, Springer, 1993.","DOI":"10.1007\/978-3-642-48753-8_3"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB58","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/0020-0255(86)90060-5","article-title":"Satisfying solutions for a possibilistic linear program","volume":"40","author":"Luhandjula","year":"1986","journal-title":"Inform. Sci."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB59","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1016\/0165-0114(87)90159-X","article-title":"Multiple objective programming problems with possibilistic coefficients","volume":"21","author":"Luhandlula","year":"1987","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB60","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/0165-0114(89)90019-5","article-title":"Fuzzy optimization: an appraisal","volume":"30","author":"Luhandjula","year":"1989","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB61","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/0020-0255(92)90052-A","article-title":"Fuzzy and semi-infinite mathematical programming","volume":"61","author":"Luhandjula","year":"1992","journal-title":"Inform. Sci."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB62","series-title":"Portfolio Selection: Efficient Diversification of Investments","author":"Markowitz","year":"1959"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB63","doi-asserted-by":"crossref","unstructured":"Z. Michalewicz, Genetic Algorithms+Data Structure=Evolution Programs, 3rd, revised and extended ed., Springer, Berlin, 1996.","DOI":"10.1007\/978-3-662-03315-9_15"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB64","series-title":"Stochastic Programming with Multiple Objective Functions","author":"Stancu-Minasian","year":"1984"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB65","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0020-0255(90)90002-R","article-title":"Canonical fuzzy numbers of dimension two and fuzzy utility difference for understanding preferential judgements","volume":"50","author":"Nakamura","year":"1990","journal-title":"Inform. Sci."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB66","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1016\/0165-0114(81)90004-X","article-title":"The current interest in fuzzy optimization","volume":"6","author":"Negoita","year":"1981","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB67","first-page":"83","article-title":"On considering imprecision in dynamic linear programming","volume":"3","author":"Negoita","year":"1976","journal-title":"Economic Comput. Economic Cybernet. Stud. Res."},{"issue":"1","key":"10.1016\/S0165-0114(98)00449-7_BIB68","doi-asserted-by":"crossref","first-page":"166","DOI":"10.3156\/jfuzzy.6.1_166","article-title":"A method for fuzzy multiple objective linear programming problems with relationship between coefficients (in Japanese)","volume":"6","author":"Ohta","year":"1990","journal-title":"J. Japan Soc. Fuzzy Theory Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB69","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/0165-0114(78)90001-5","article-title":"Decision-making with a fuzzy preference relation","volume":"1","author":"Orlovsky","year":"1978","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB70","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1016\/0165-0114(80)90026-3","article-title":"On formalization of a general fuzzy mathematical programming problem","volume":"3","author":"Orlovsky","year":"1980","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB71","unstructured":"S.A. Orlovsky, Mathematical programming problems with fuzzy parameters, IIASA Working Paper, WP-84-38, 1984."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB72","first-page":"175","article-title":"Multiobjective programming problems with fuzzy parameters","volume":"13","author":"Orlovsky","year":"1984","journal-title":"Control Cybernet."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB73","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/S0165-0114(86)80075-6","article-title":"Extension principle in fuzzy optimization","volume":"19","author":"Ramik","year":"1986","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB74","doi-asserted-by":"crossref","unstructured":"J. Ramik, An application of fuzzy optimization to optimum allocation of production, Proc. Internat. Workshop on Fuzzy Set Applications, Academia-Verlag, IIASA, Laxenburg, Berlin, 1987.","DOI":"10.1007\/978-94-009-3869-4_24"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB75","series-title":"Interactive Fuzzy Optimization and Mathematical Programming","article-title":"Fuzzy preferences in linear programming","author":"Ramik","year":"1990"},{"issue":"1","key":"10.1016\/S0165-0114(98)00449-7_BIB76","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1080\/03081079108945018","article-title":"Vaguely interrelated coefficients in LP as bicriterial optimization problem","volume":"20","author":"Ramik","year":"1991","journal-title":"Internat. Journal on General Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB77","series-title":"Modelling Uncertain Data","first-page":"158","article-title":"Inequality relations between fuzzy data","author":"Ramik","year":"1992"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB78","series-title":"Operation Research Proceedings: Papers of the 21st Annual Meeting of DGOR 1992","first-page":"296","article-title":"Some problems of linear programming with fuzzy coefficients","author":"Ramik","year":"1993"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB79","first-page":"112","article-title":"New Interpretation of the Inequality Relations In Fuzzy Goal Programming Problems","volume":"4","author":"Ramik","year":"1996","journal-title":"Central European J. Oper. Res. Economics"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB80","unstructured":"J. Ramik, Fuzzy goals and fuzzy alternatives in fuzzy goal programming problems, Fuzzy Sets and Systems, this special issue."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB81","doi-asserted-by":"crossref","first-page":"167","DOI":"10.1016\/0165-0114(93)90274-L","article-title":"Canonical fuzzy numbers of dimension two","volume":"54","author":"Ramik","year":"1993","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB82","first-page":"29","article-title":"Joint canonical fuzzy numbers","volume":"53","author":"Ramik","year":"1993","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB83","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/S0165-0114(85)80013-0","article-title":"Inequality relation between fuzzy numbers and its use in fuzzy optimization","volume":"16","author":"Ramik","year":"1985","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB84","unstructured":"J. Ramik, J. \u0158\u0131\u0301m\u00e1nek, The linear programming problem with vaguely formulated relations between the coefficients, in: Interfaces Between Artificial Intelligence and Operations Research in Fuzzy Environment, Riedel, Dordrecht, 1989."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB85","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/0165-0114(93)90160-J","article-title":"A single- and multi-valued order on fuzzy numbers and its use in linear programming with fuzzy coefficients","volume":"57","author":"Ramik","year":"1993","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB86","first-page":"(1996)","volume":"Fuzzy Sets and Systems","author":"Ramik","year":"1981","journal-title":"Fuzzy mathematical programming based on some new inequality relations"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB87","first-page":"145","article-title":"A new algorithm for solving multi-objective fuzzy linear programming problems","volume":"3","author":"Ramik","year":"1996","journal-title":"Found. Comput. Dec. Sci."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB88","series-title":"Fuzzy Optimization: Recent Advances","first-page":"158","article-title":"Some problems of fuzzy optimization with t-norm based extended addition","author":"Rommelfanger","year":"1994"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB89","doi-asserted-by":"crossref","first-page":"512","DOI":"10.1016\/0377-2217(95)00008-9","article-title":"Fuzzy linear programming and applications","volume":"92","author":"Rommelfanger","year":"1996","journal-title":"European J. Oper. Res."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB90","first-page":"99","article-title":"Multicriteria fuzzy optimization based on Yager's parameterized t-norm","volume":"16","author":"Rommelfanger","year":"1991","journal-title":"Found. Comput. Dec. Sci."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB91","doi-asserted-by":"crossref","first-page":"119","DOI":"10.1016\/0165-0114(91)90093-6","article-title":"Comparison of methodologies for fuzzy and stochastic multiobjective programming","volume":"42","author":"Roubens","year":"1991","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB92","series-title":"Fuzzy Sets and Interactive Multiobjective Optimization","author":"Sakawa","year":"1993"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB93","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/S0377-2217(96)00023-9","article-title":"Fuzzy programming for multiobjective 0-1 programming problems through revised genetic algorithms","volume":"97","author":"Sakawa","year":"1997","journal-title":"European J. Oper. Res."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB94","doi-asserted-by":"crossref","first-page":"217","DOI":"10.1016\/0165-0114(86)90052-7","article-title":"A multicriteria fuzzy linear programming method for water supply system development planning","volume":"19","author":"S\u0142owinski","year":"1986","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB95","doi-asserted-by":"crossref","first-page":"673","DOI":"10.1002\/1520-6750(198812)35:6<673::AID-NAV3220350612>3.0.CO;2-L","article-title":"Fuzzy versus stochastic approaches to multicriteria linear programming under uncertainty","volume":"35","author":"S\u0142owinski","year":"1988","journal-title":"Naval Res. Logist."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB96","doi-asserted-by":"crossref","unstructured":"R. S\u0142owinski, J. Teghem (Eds.), Stochastic versus Fuzzy Approaches to Multiobjective Mathematical Programming under Uncertainty, Kluwer Academic Publishers, Dordrecht, 1990.","DOI":"10.1007\/978-94-009-2111-5"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB97","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/0165-0114(84)90022-8","article-title":"Fuzzy linear programming problems with fuzzy numbers","volume":"13","author":"Tanaka","year":"1984","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB98","doi-asserted-by":"crossref","first-page":"325","DOI":"10.1109\/TSMC.1984.6313219","article-title":"Fuzzy solution in fuzzy linear programming problems","volume":"14","author":"Tanaka","year":"1984","journal-title":"IEEE Trans. Systems Man Cybernet."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB99","unstructured":"H. Tanaka, P. Guo, Portfolio selection method based on possibility distributions, Proc. 14th Internat. Conf. Production Research, vol. 2, 1997, pp. 1538\u20131541."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB100","first-page":"185","article-title":"A formulation of fuzzy linear programming problem based on comparison of fuzzy numbers","volume":"13","author":"Tanaka","year":"1984","journal-title":"Control Cybernet."},{"key":"10.1016\/S0165-0114(98)00449-7_BIB101","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1016\/0165-0114(91)90218-F","article-title":"Identification of possibilistic linear systems by quadratic membership function","volume":"41","author":"Tanaka","year":"1991","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB102","doi-asserted-by":"crossref","first-page":"123","DOI":"10.1016\/0888-613X(93)90024-8","article-title":"Evidence theory of exponential possibility distribution","volume":"8","author":"Tanaka","year":"1993","journal-title":"Int. J. Approx. Reasoning"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB103","doi-asserted-by":"crossref","first-page":"37","DOI":"10.1080\/01969727308545912","article-title":"On fuzzy mathematical programming","volume":"3","author":"Tanaka","year":"1974","journal-title":"J. Cybernet."},{"issue":"5","key":"10.1016\/S0165-0114(98)00449-7_BIB104","doi-asserted-by":"crossref","first-page":"1073","DOI":"10.3156\/jfuzzy.7.5_1073","article-title":"Solving job-shop scheduling problem with fuzzy processing time using genetic algorithm","volume":"7","author":"Tsujimura","year":"1995","journal-title":"J. Japan Soc. Fuzzy Theory Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB105","series-title":"Fuzzy Information and Decision Processes","first-page":"231","article-title":"Fuzzy mathematical programming","author":"Verdegay","year":"1982"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB106","doi-asserted-by":"crossref","first-page":"171","DOI":"10.1016\/0165-0114(87)90014-5","article-title":"Fuzzy and stochastic programming","volume":"22","author":"Yazenin","year":"1987","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB107","doi-asserted-by":"crossref","unstructured":"L.A. Zadeh, Fuzzy sets and systems, Presented at the Symp. on Systems Theory, Polytechnic Institute of Brooklyn, April 20\u201322, 1965 (republished in: Int. J. General Systems 17 (1990) 129\u2013138).","DOI":"10.1142\/9789814261302_0002"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB108","first-page":"(1978)","volume":"Fuzzy Sets and Systems","author":"Zadeh","journal-title":"Fuzzy sets as a basis for a theory of possibility"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB109","doi-asserted-by":"crossref","first-page":"209","DOI":"10.1080\/03081077608547470","article-title":"Description and optimization of fuzzy systems","volume":"2","author":"Zimmermann","year":"1976","journal-title":"Int. J. General Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB110","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/0165-0114(78)90031-3","article-title":"Fuzzy programming and linear programming with several objective functions","volume":"1","author":"Zimmermann","year":"1978","journal-title":"Fuzzy Sets and Systems"},{"key":"10.1016\/S0165-0114(98)00449-7_BIB111","doi-asserted-by":"crossref","first-page":"29","DOI":"10.1016\/0020-0255(85)90025-8","article-title":"Applications of fuzzy sets theory to mathematical programming","volume":"36","author":"Zimmermann","year":"1985","journal-title":"Inform. Sci."}],"container-title":["Fuzzy Sets and Systems"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165011498004497?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0165011498004497?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2023,4,11]],"date-time":"2023-04-11T16:11:17Z","timestamp":1681229477000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0165011498004497"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2000,4]]},"references-count":111,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2000,4]]}},"alternative-id":["S0165011498004497"],"URL":"https:\/\/doi.org\/10.1016\/s0165-0114(98)00449-7","relation":{},"ISSN":["0165-0114"],"issn-type":[{"value":"0165-0114","type":"print"}],"subject":[],"published":{"date-parts":[[2000,4]]}}}