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Fuzzy linear programming problems with fuzzy numbers. (English) Zbl 0546.90062
Summary: Linear programming problems with fuzzy parameters are formulated by fuzzy functions. The ambiguity considered here is no randomness, but fuzziness which is associated with the lack of a sharp transition from membership to nonmembership. Parameters on constraint and objective functions are given by fuzzy numbers. In this paper our object is the formulation of a fuzzy linear programming problem to obtain a reasonable solution under consideration of the ambiguity of parameters. This fuzzy linear programming problem with fuzzy numbers can be regarded as a model of decision problems where human estimation is influential.

MSC:
90C05 Linear programming
90B50 Management decision making, including multiple objectives
03E72 Theory of fuzzy sets, etc.
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