Study on Fuzzy Quadratic Programming Problems

Abstract

Under the condition of D-differentiable, fuzzy quadratic programming, whose objective functions are fuzzy quadratic and constraint conditions are fuzzy linear, are studied. First, we prove that fuzzy quadratic programming are a special case of convex fuzzy programming, whose objective mappings and constraint conditions are both D-differentiable; Then by the KKT conditions of convex fuzzy programming, we propose the optimality KKT conditions of fuzzy quadratic programming.