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Degeneracy in fuzzy linear programming and its application. (English) Zbl 1250.90117

Summary: In this paper, by a definite linear function for ranking symmetric triangular fuzzy numbers, in a Fuzzy Linear Programming problem (FLP) model, we introduced a Fuzzy Degenerate Solution (FDS). In the physical meaning, occurrence of degeneracy in a Fuzzy Minimal Cost Flow Network is investigated. To prevent of falling into Cycling phenomenon in optimization process, we defined two new techniques of Cycling prevention proper to fuzzy environment.

MSC:

90C70 Fuzzy and other nonstochastic uncertainty mathematical programming
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