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Fuzzy linear programming problems with fuzzy numbers

Fuzzy Sets and SystemsPublished 1 May 1984
Hideo Tanaka, K. Asai
Citations463
SJR quartileQ1
SJR score0.75
SNIP1.25

TL;DR

This fuzzy linear programming problem with fuzzy numbers can be regarded as a model of decision problems where human estimation is influential and a reasonable solution under consideration of the ambiguity of parameters is obtained.

Abstract

Linear programming problems with fuzzy parameters are formulated by fuzzy functions. The ambiguity considered here is not 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.

Keywords

Decision SciencesMathematicsEngineering