Linear programming with fuzzy coefficients in constraints

Linear programming with fuzzy coefficients in constraints

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Article ID: iaor2000480
Country: United Kingdom
Volume: 37
Issue: 10
Start Page Number: 63
End Page Number: 76
Publication Date: May 1999
Journal: Computers & Mathematics with Applications
Authors: , , ,
Keywords: fuzzy sets
Abstract:

This paper presents a new method for solving linear programming problems with fuzzy coefficients in constraints. It is shown that such problems can be reduced to a linear semi-infinite programming problem. The relations between optimal solutions and extreme points of the linear semi-infinite program are established. A cutting plane algorithm is introduced with a convergence proof, and a numerical example is included to illustate the solution procedure.

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