Interval number and fuzzy number linear programming.

Tong Shaocheng

Department of Basic Mathematics, Liao Ning Institute of Technology, Jin Zhou, Liao Ning, China

Received November 1993; revised February 1994

Abstract

In this paper, we focus on two kinds of linear programmings with fuzzy numbers. They are called interval number and fuzzy number linear programmings, respectively. The problems of linear programmings with interval number coefficients are approached by taking maximum value range and minimum value range inequalities as constraint conditions, reduced it into two classical linear programmings, and obtained an optimal interval solution to it. The problems of fuzzy linear programming with fuzzy number coefficients are approached in two ways: i.e. "fuzzy decisive set approach" and "interval number linear programming approach for several membership levels". Finally, we gave the numerical solutions of the illustrative examples.

Keywords: Fuzzy linear programming; Interval number; Fuzzy number

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