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Kybernetika 42(4):441-452, 2006.

A Necessity Measure Optimization Approach to Linear Programming Problems with Oblique Fuzzy Vectors

Masahiro Inuiguchi


Abstract:

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.


Keywords: fuzzy linear programming; oblique fuzzy vector; necessity measure; Bender's decomposition;


AMS: 90C70; 90C05; 49M27;


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BIB TeX

@article{kyb:2006:4:441-452,

author = {Inuiguchi, Masahiro},

title = {A Necessity Measure Optimization Approach to Linear Programming Problems with Oblique Fuzzy Vectors},

journal = {Kybernetika},

volume = {42},

year = {2006},

number = {4},

pages = {441-452}

publisher = {{\'U}TIA, AV {\v C}R, Prague },

}


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