An Interactive Method for Fuzzy Multiobjective Nonlinear Programming Problems

Abstract

This paper presents a solution method for multiobjective nonlinear programming problems with fuzzy parameters in the objective functions. This method is based on interactive cutting-plane algorithm. Also, the stability set corresponding α-Pareto optimal solution which is obtained by using this method is investigated. The method is illustrated by a numerical example.

Duality in Nonlinear Fractional Programming Problem Using Fuzzy Programming and Genetic Algorithm

“…In (Jimenez, 2005), author has considered a non linear programming problem with fuzzy constraints and the solution has been obtained by muti objective evolutionary Algorithms. An interactive cutting plane algorithm for fuzzy multi objective nonlinear programming problems has been presented in (Kanaya, 2010). In (Jameel, 2012), author has obtained accurate results for solving non linear programming using fuzzy environment by using properties of fuzzy set and fuzzy number with linear membership function.…”