Interval number and fuzzy number linear programmings

Interval number and fuzzy number linear programmings

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Article ID: iaor19951059
Country: Netherlands
Volume: 66
Issue: 3
Start Page Number: 301
End Page Number: 306
Publication Date: Sep 1994
Journal: Fuzzy Sets and Systems
Authors:
Keywords: programming: linear
Abstract:

This paper focuses 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, the numerical solutions of the illustrative examples were given.

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