n维半E-预不变凸模糊数值函数及其应用

n-Dimensional Semi-E-preinvex Fuzzy-number-valued Functions and Its Application

利用Goetschel-Voxman定义的序关系,讨论了n维半E-预不变凸模糊数值函数的若干判定定理.特别地,给出了n维半E-预不变凸模糊数值函数的刻画定理,最后讨论了一类模糊数学规划问题的局部最优解和全局最优解存在的条件.

Based on the ordering of fuzzy numbers proposed by Goetschel-Voxman,the definition of semi-E-preinvexity of n-dimensional fuzzy-number-valued functions are given,some judge theorems and a characterization of n-dimensional semi-E-preinvex fuzzy-number-valued functions can be obtained.As an application,the conditions of local optimal solution and global optimal solution in the mathematical programming problem are discussed.