Fuzzy Linear Programming Based on Fuzzy Functions

Abstract Linear programming problems with fuzzy parameters have been formulated by fuzzy functions. The ambiguity considered here is not randomness, but fuzziness which is associated with the lack of sharp transition from membership to nonmembership. Parameters on constraint and objective functions are given by fuzzy sets. 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 based on fuzzy functions can be regarded as a model of decision problems where human estimation is influential.