Fully Fuzzy Quadratic programming with unrestricted Fully Fuzzy variables and Parameters

Mervat M. Elshafei

Mervat M. Elshafei Department of Mathematics, Faculty of Science, Helwan University, Cairo, Egypt

Keywords: Fully Fuzzy linear programming; Quadratic Programming; Fuzzy arithmetic; Fuzzy Optimal solution; Triangular Fuzzy numbers.

Abstract

There exist several methods for solving fuzzy linear or nonlinear programming problems under positivity fuzzy variables and restricted fuzzy coefficients. Due to the limitation of these methods, they can’t be applied for solving fully fuzzy linear or nonlinear programming problems with unrestricted fuzzy coefficients and fuzzy variables. In this paper an efficient method to find the fuzzy optimal solution for fully fuzzy quadratic programming (FFQP) problem with unrestricted variables and parameters has been proposed. All the coefficients and decision variables of both objective functions and the constraints are triangular fuzzy numbers. The proposed method is based on converted FFQP problem into crisp quadratic programming (CQP) problem. Finally an illustrative numerical example has been given to clarify the proposed solution method.

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