A Solution Approach for Solving Fully Fuzzy Quadratic Programming Problems

Abstract

Quadratic Programming has been widely applied to solve real-world problems. This paper describes a solution method for solving a special class of fuzzy quadratic programming problems with fuzziness in relations. Then the method is generalized to a more general fuzzy quadratic programming problem, where the cost coefficients, the matrix of the quadratic form, constraints coefficients, and the right-hand sides are all fuzzy numbers. Finally, some examples are taken to the utility of our proposed method.

Keywords

• fuzzy number
• quadric programming
• .membership function
• fuzzy arithmetic
• fuzzy constraint