正齐次模糊数值函数的欧拉公式及其应用

Euler-identity of Homogeneous Fuzzy-valued Function and its application

本文首先给出了正齐次可微模糊数值函数的欧拉公式;其次,给出了凸模糊数值函数的次可微性概念,并在次可微条件下给出了正齐次凸模糊数值函数的广义欧拉公式;最后,作为所获理论的应用,讨论了齐次模糊规划问题,得到了正齐次模糊规划问题解的必要条件.

In this paper, firstly, we discussed Euler-identity of differentiable positively homogeneous fuzzy-valued functions Secondly, we given the definition of sub-differential of convex fuzzy-valued functions, and given the generalized Euler-identity of positively homogeneous fuzzy-valued functions under the sub-differential conditions Finally, as the application of the theory, we discussed the positively homogeneous fuzzy programming problems, and obtained the necessary condition of solution for the positively homogeneous fuzzy programming problems.