M. Rommelfanger, R. Hanuschek, and J. Wolf, Linear programming with fuzzy objectives, Fuzy Sets and Systems 29 (1989) 31--48. 40 Home/Search Document Not in Database Summary Related Articles Check |
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On The Formulation Of Optimization Under Elastic.. - Bouchon-Meunier.. (1994) (Correct)
.... there have been proposed several different algorithms, and many successful applications are known (see, e.g. Negoita 1975 [41] Negoita 1977 [42] Zimmermann 1978 [75] Ralescu 1979 [49] Verdegay 1982 [65] Zimmermann 1985 [77,78] Delgado 1989 [16] Luhandjula 1989) 38] Rommelfanger 1989 [51,52], Sakawa 1993 [55] Delgado 1994 [15] Especially successful was fuzzy mathematical programming, when the condition is formulated as a mathematical (e.g. linear) inequality with fuzzy coefficients (Flachs 1978) 24] Zimmermann 1978) 75] Verdegay 1982) 65] Zimmermann 1985) 4 [77,78] ....
.... programming, when the condition is formulated as a mathematical (e.g. linear) inequality with fuzzy coefficients (Flachs 1978) 24] Zimmermann 1978) 75] Verdegay 1982) 65] Zimmermann 1985) 4 [77,78] Chanas 1989) 11] Delgado 1989) 16] Luhandjula 1989) 38] Rommelfarger 1989) [51,52], Sakawa 1993) 55] Delgado 1994) 15] In particular, fuzzy linear programming has been successfully applied to such diverse fields as: ffl air pollution (Sommer 1978) 60] ffl media selection (Wiedy 1978) 67] ffl industrial engineering (Deporter 1990) 17] ffl reliability problems ....
M. Rommelfanger, R. Hanuschek, and J. Wolf, Linear programming with fuzzy objectives, Fuzy Sets and Systems 29 (1989) 31--48. 40
Optimizing Maintenance Resources in Distribution.. - Sittithumwat.. (Correct)
....with fuzzy coefficients as follows: Min x c Subject to 0 and = x b Ax x X x (9) where ] U L c c c is an interval valued coefficient vector. To solve (9) first define: and ) x c x z x c x z U Max L Min = which are the two extreme cases. Rommelfanger et al. [10] reduced the infinite objective functions of (9) to a search for solutions of the multiple objective linear programming problem: Min x z x z Max Min X x (10) By this procedure, the set of compromise solution is not restricted to the extreme points of X . To solve (10) Zimmermann s ....
H. Rommelfanger, R. Hanuscheck and J. Wolf, "Linear Programming with Fuzzy Objectives", Fuzzy Sets and Systems, vol. 29, 1989, pp. 31-48.
Fuzzy multiple criteria decision making: Recent developments - Fullér, Carlsson (1996) (Correct)
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M. Rommelfanger and R. Hanuscheck and J. Wolf, Linear Programming with Fuzzy Objectives, Fuzzy Sets and Systems, 29(1989) 31-48.
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