Geodesic
A necessity measure optimization approach to linear programming problems with oblique fuzzy vectors
Kybernetika, Tome 42 (2006) no. 4, pp. 441-452.

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In this paper, a necessity measure optimization model of linear programming problems with fuzzy oblique vectors is discussed. It is shown that the problems are reduced to linear fractional programming problems. Utilizing a special structure of the reduced problem, we propose a solution algorithm based on Bender’s decomposition. A numerical example is given.
Classification : 49M27, 90C05, 90C70
Keywords: fuzzy linear programming; oblique fuzzy vector; necessity measure; Bender’s decomposition 
@article{KYB_2006__42_4_a3,
     author = {Inuiguchi, Masahiro},
     title = {A necessity measure optimization approach to linear programming problems with oblique fuzzy vectors},
     journal = {Kybernetika},
     pages = {441--452},
     publisher = {mathdoc},
     volume = {42},
     number = {4},
     year = {2006},
     mrnumber = {2275346},
     zbl = {1249.90350},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KYB_2006__42_4_a3/}
}
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Inuiguchi, Masahiro. A necessity measure optimization approach to linear programming problems with oblique fuzzy vectors. Kybernetika, Tome 42 (2006) no. 4, pp. 441-452. http://geodesic.mathdoc.fr/item/KYB_2006__42_4_a3/