Solving fuzzy linear programming problem using symmetric fuzzy number approximation

C. Veeramani and C. Duraisamy

International Journal of Operational Research, 2012, vol. 15, issue 3, 321-336

Abstract: In this paper, we discussed the fully fuzzy linear programming (FFLP) problems in which all the parameters and variables are triangular fuzzy numbers. We proposed a new approach of solving FFLP problem using the concept of nearest symmetric triangular fuzzy number approximation with preserve expected interval. Using this technique, FFLP problems model turned into two crisp linear problems: first problem is designed in which the centre objective value will be calculated. Second is designed to obtain the margin from the objective of the principal problem. Finally, the fuzzy approximate solution of the FFLP problem is obtained from the solution of two linear programming problems.

Keywords: fuzzy numbers; symmetric triangular approximation; fuzzy linear programming; multiobjective linear programming. (search for similar items in EconPapers)
Date: 2012
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