A New Method for Solving Fuzzy Linear Programming by Solving Linear Programming

نویسنده

  • S. H. Nasseri
چکیده

Since many real-world engineering systems are too complex to be defined in precise terms, imprecision is often involved in any engineering design process. Fuzzy linear programming problems have an essential role in fuzzy modeling, which can formulate uncertainty in actual environment. One of the most practicable subjects in recent studies is based on LR fuzzy number, which was defined and used by Dubois and Prade with some useful and easy approximation arithmetic operators on them. We use some vector computations on fuzzy vectors, where a fuzzy vector appears as a vector of triangular fuzzy numbers. Here, our main scope is finding some nonnegative fuzzy vector ~ x in which maximizes the objective function ~ ~ x c z = so that ~ ~ b x A = , where A and ~ b are a real matrix and a fuzzy vector respectively, and n c × 1 is a real vector too.

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تاریخ انتشار 2008