On the equivalence of two optimization methods for fuzzy linear programming problems
作者： Stefan Chanas , Paweł Zieliński
DOI: 10.1016/S0377-2217(99)00011-9
关键词: Mathematical optimization 、 Fuzzy logic 、 Mathematics 、 Linear programming 、 Fuzzy mathematics 、 Fuzzy transportation 、 Fuzzy classification 、 Fuzzy number 、 Fuzzy set operations 、 Linear-fractional programming
摘要: Abstract The paper analyses the linear programming problem with fuzzy coefficients in objective function. set of nondominated (ND) solutions respect to an assumed preference relation, according Orlovsky's concept, is supposed be solution problem. Special attention paid unfuzzy (UND) (the which are degree one). main results sufficient conditions on a relation allowing reduce determining UND that optimal classical These can thus determined by means methods.
elsevier.com
sci-hub.se 参考文章(13)
W. Krelle, C. L. Hwang, Martin J. Beckmann, Shu-Jen J. Chen, Multiple Attribute Decision Making: Methods and Applications ,(1981)
B. Schweizer, A. Sklar, Probabilistic metric spaces ,(1983)
Waldemar Kołodziejczyk, On equivalence of two optimization methods for fuzzy discrete programming problems European Journal of Operational Research. ,vol. 36, pp. 85- 91 ,(1988) , 10.1016/0377-2217(88)90009-4
M. Delgado, J.L. Verdegay, M.A. Vila, A procedure for ranking fuzzy numbers using fuzzy relations Fuzzy Sets and Systems. ,vol. 26, pp. 49- 62 ,(1988) , 10.1016/0165-0114(88)90005-X
Ronald R. Yager, A procedure for ordering fuzzy subsets of the unit interval Information Sciences. ,vol. 24, pp. 143- 161 ,(1981) , 10.1016/0020-0255(81)90017-7
Saul I. Gass, Linear programming: methods and applications ,(1958)
Waldemar Kołodziejczyk, Orlovsky's concept of decision-making with fuzzy preference relation—Further results Fuzzy Sets and Systems. ,vol. 19, pp. 11- 20 ,(1986) , 10.1016/S0165-0114(86)80073-2
Sjoerd M. Baas, Huibert Kwakernaak, Paper: Rating and ranking of multiple-aspect alternatives using fuzzy sets Automatica. ,vol. 13, pp. 47- 58 ,(1977) , 10.1016/0005-1098(77)90008-5
DIDIER DUBOIS, HENRI PRADE, Operations on fuzzy numbers International Journal of Systems Science. ,vol. 9, pp. 613- 626 ,(1978) , 10.1080/00207727808941724
Heinrich Rommelfanger, Randolf Hanuscheck, Jochen Wolf, Linear programming with fuzzy objectives Fuzzy Sets and Systems. ,vol. 29, pp. 31- 48 ,(1989) , 10.1016/0165-0114(89)90134-6