Formulation of fuzzy linear programming as four-objective constrained optimization problems

Formulation of fuzzy linear programming as four-objective constrained optimization problems

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Article ID: iaor2005347
Country: United States
Volume: 139
Issue: 2/3
Start Page Number: 383
End Page Number: 399
Publication Date: Jul 2003
Journal: Applied Mathematics and Computation
Authors: , , ,
Keywords: programming: linear
Abstract:

This paper concerns the solution of fuzzy linear programming (FLP) problems which involve fuzzy numbers in coefficients of objective functions. Firstly, a number of concepts of optimal solutions to FLP problems are introduced and investigated. Then, a number of theorems are developed so as to convert the FLP to a multi-objective optimization problem with four-objective functions. Finally, two illustrative examples are given to demonstrate the solution procedure. It also shows that our method of solution includes an existing method as a special case.

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