基于结构元理论的复Fuzzy数

Study on Double Fuzzy Numbers Based on Structural-element Theory

在文献[2—6]的基础上,给出了基于结构元理论的复Fuzzy数,定义了两个复模糊数的距离、大小关系、上下界及四则运算等,并探讨了复Fuzzy数项数列的收敛性,给出了数列收敛的充要条件及收敛的唯一性、有界性、保号性等结论。

Double fuzzy numbers based on the theory of the structural-element are given according to documentation from 2 to 6. Then, some definitions are given for distance between two double fuzzy numbers, value relations,upper and lower bound and fore arithmetic operation. The convergence of the sequence are discussed and the necessary and sufficient conditions of convergence of series are given. At last, the result that series are only, bouned and the sign is not varying.