基于结构元理论的复Fuzzy值函数微分及积分

Differential and integral based on double Fuzzy constant functions term series

基于结构元理论的Fuzzy数概念,研究了Fuzzy值函数微分及积分。在此基础上研究基于结构元线性生成的复Fuzzy值函数微分及积分,给出微分及积分的定义及求解定理,同时对复Fuzzy值函数的线性运算及加减运算之后的微分与积分公式进行探讨,给出了相应结论及证明。

This paper builds on the literature, which presents a concept of Fuzzy number based on the structured element theory and describes a study of the differential and the integral of double fuzzy con- stant function term series, which offers a concept of complex Fuzzy number based on the structured ele- ment theory. The paper provides a study of the differential and the integral theory of complex fuzzy value function based on the structured element linear spanning. The paper discusses some important operation properties for the differential and integral and offers corresponding proofs.