Article ID Journal Published Year Pages File Type
391436 Fuzzy Sets and Systems 2006 20 Pages PDF
Abstract

A class of fuzzy linear programming (FLP) problems with fuzzy coefficients based on fuzzy relations is introduced, the concepts of feasible and (α,β)-maximal and minimal solutions are defined. The class of crisp (classical) LP problems can be embedded into the class of FLP ones. Moreover, for FLP problems a new concept of duality is introduced and the weak and strong duality theorems are derived. The introduced concepts and results are illustrated and discussed on a simple numerical example.

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Physical Sciences and Engineering Computer Science Artificial Intelligence