直觉模糊关系再研究

Restudy of intuitionistic fuzzy relations

对直觉模糊关系进行了再研究,提出了直觉模糊关系的核与闭包的概念,得到了直觉模糊关系的十四集定理.首先,利用直觉模糊逆自反关系、对称关系以及自反关系给出了直觉模糊关系的逆自反核、对称核、自反闭包以及对称闭包的概念.其次,利用直觉模糊关系的若干性质分别得到它们的精确计算公式以及若干性质.最后,利用这些性质证明了从一个直觉模糊关系出发,用对称核算子、对称闭包算子和补算子作用,最多只能得到14个彼此不同的直觉模糊关系.

The issues of intuitionistic fuzzy relations get deeply into investigation,the notions of kernel and closure of intuitionistic fuzzy relations are proposed,and fourteen sets theorem of intuitionistic fuzzy relations is proved.Firstly,the notions of anti-reflexive kernel,symmetric kernel,reflexive closure and symmetric closure of intuitionistic fuzzy relations are given by use of intuitionistic fuzzy anti-reflexive relations、symmetric relations and reflexive relations.Secondly,their accurate calculate formul...