A necessity measure optimization approach to linear programming problems with oblique fuzzy vectors. (English) Zbl 1249.90350

Summary: A necessity measure optimization model for 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.


90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
90C05 Linear programming
49M27 Decomposition methods
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