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Unique fuzzy optimal value of fully fuzzy linear programming problems

Kaur J., Kumar A.

Control and Cybernetics

2012

Vol. 41, no. 2

497-508

Kumar, Kaur and Singh (2011), proposed a new method to find the exact fuzzy optimal solution of fully fuzzy linear programming (FFLP) problems with equality constraints. In this paper, an FFLP problem is chosen to show that the fuzzy optimal value, obtained by using the existing method, is not necessarily a unique fuzzy number i.e., the fuzzy optimal value of the FFLP problem, obtained by the existing method, does not conform to the uniqueness property of fuzzy optimal value. To overcome this shortcoming of the existing method, a new method is proposed for solving FFLP problems with equality constraints. To show the advantage of the proposed method the results of the chosen FFLP problem, obtained by using the existing and the proposed methods, are compared.