直觉模糊数的研究

The Research of Intuitionistic Fuzzy Numbers

传统意义上的模糊数是实数集上一种只考虑隶属度的模糊集合,直觉模糊集的提出,使人们对模糊集的认识更为深刻。本文在P.Burillo等提出的直觉模糊数的基础上,将直觉模糊数表示为由上理想模糊数和下理想模糊数的二元模糊数组。于是,直觉模糊数的运算、度量、排序等许多概念都可以由下、上理想模糊数相应的概念所诱导出。本文同时给出了直觉模糊数及其运算的模糊结构元表达方法。

The fuzzy number of the traditional sense is the fuzzy set of only consider membership in the real sets, being proposed intuitionistic fuzzy sets made people more profound understanding fuzzy sets. This paper, represented the intuitionistic fuzzy numbers as two-dimensional fuzzy array of up-ideal fuzzy numbers and down-ideal fuzzy numbers based on P. Burillo and others, who proposed intuitionistic fuzzy numbers. Thus, the computing, measurement, sorting and many other concepts of intuitionistic fuzzy number, can be induced by the corresponding concept of up-ideal fuzzy numbers and down-ideal fuzzy numbers. This paper also gives fuzzy structure element expression of the intuitionistic fuzzy numbers and computing .