Optimality conditions for linear programming problems with fuzzy coefficients

Computers & Mathematics with Applications - Tập 55 - Trang 2807-2822 - 2008
Hsien-Chung Wu1
1Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 802, Taiwan

Tài liệu tham khảo

1998 1994 Lai, 1992, vol. 394 Lai, 1994, vol. 404 1990 Bellman, 1970, Decision making in a fuzzy environment, Management Science, 17, 141, 10.1287/mnsc.17.4.B141 Buckley, 1988, Possibilistic linear programming with triangular fuzzy numbers, Fuzzy Sets and Systems, 26, 135, 10.1016/0165-0114(88)90013-9 Buckley, 1989, Solving possibilistic linear programming problems, Fuzzy Sets and Systems, 31, 329, 10.1016/0165-0114(89)90204-2 Julien, 1994, An extension to possibilistic linear programming, Fuzzy Sets and Systems, 64, 195, 10.1016/0165-0114(94)90333-6 Luhandjula, 1992, Fuzzy and semi-infinite mathematical programming, Information Sciences, 61, 233, 10.1016/0020-0255(92)90052-A Herrera, 1993, Optimality for fuzzified mathematical programming problems: A parametric approach, Fuzzy Sets and Systems, 54, 279, 10.1016/0165-0114(93)90373-P Zimmemmann, 1978, Fuzzy programming and linear programming with several objective functions, Fuzzy Sets and Systems, 1, 45, 10.1016/0165-0114(78)90031-3 Zimmermann, 1985, Applications of fuzzy set theory to mathematical programming, Information Sciences, 36, 29, 10.1016/0020-0255(85)90025-8 Inuiguchi, 1993, Modality constrained programming problems: A unified approach to fuzzy mathematical programming problems in the setting of possibility theory, Information Sciences, 67, 93, 10.1016/0020-0255(93)90086-2 Inuiguchi, 2000, Membership function elicitation in possibilistic programming problems, Fuzzy Sets and Systems, 111, 29, 10.1016/S0165-0114(98)00450-3 Tanaka, 1984, Fuzzy linear programming problems with fuzzy numbers, Fuzzy Sets and Systems, 13, 1, 10.1016/0165-0114(84)90022-8 Lee, 1993, Fuzzy multiple objective programming and compromise programming with pareto optimum, Fuzzy Sets and Systems, 53, 275, 10.1016/0165-0114(93)90399-3 Li, 1990, Fuzzy approaches to multicriteria de novo programs, Journal of Mathematical Analysis and Applications, 153, 97, 10.1016/0022-247X(90)90268-K Li, 1991, An Exponential Membership Function for Fuzzy Multiple Objective Linear Programming, Computers and Mathematics with Applications, 22, 55, 10.1016/0898-1221(91)90147-V W. Rodder, H.-J. Zimmermann, Duality in fuzzy linear programming, in: Internat. Symp. on Extremal Methods and Systems Analysis, University of Texas at Austin, 1977, p. 415–427 Bector, 2002, On duality in linear programming under fuzzy environment, Fuzzy Sets and Systems, 125, 317, 10.1016/S0165-0114(00)00122-6 Bector, 2004, Duality in linear programming with fuzzy parameters and matrix games with fuzzy pay-offs, Fuzzy Sets and Systems, 146, 253, 10.1016/S0165-0114(03)00260-4 Bector, 2004, Matrix games with fuzzy goals and fuzzy linear programming duality, Fuzzy Optimization and Decision Making, 3, 255, 10.1023/B:FODM.0000036866.18909.f1 Liu, 1995, Duality of fuzzy MC2 linear programming: A constructive approach, Journal of Mathematical Analysis and Applications, 194, 389, 10.1006/jmaa.1995.1307 Ramík, 2005, Duality in fuzzy linear programming: Some new concepts and results, Fuzzy Optimization and Decision Making, 4, 25, 10.1007/s10700-004-5568-z Verdegay, 1984, A dual approach to solve the fuzzy linear programming problems, Fuzzy Sets and Systems, 14, 131, 10.1016/0165-0114(84)90096-4 Wu, 2003, Duality theory in fuzzy linear programming problems with fuzzy coefficients, Fuzzy Optimization and Decision Making, 2, 61, 10.1023/A:1022852314914 Zadeh, 1965, Fuzzy sets, Information and Control, 8, 338, 10.1016/S0019-9958(65)90241-X Zadeh, 1975, The concept of linguistic variable and its application to approximate reasoning I, II and III, Information Sciences, 8, 199, 10.1016/0020-0255(75)90036-5 Horst, 2000 Bazarra, 1993 Rudin, 1976