摘要
基于文给出的直觉模糊集的截集、分解定理和表现定理,利用模糊集的扩展原理,本文建立了直觉模糊集的扩展原理。首先,给出了直觉模糊集的扩展原理及其等价形式;其次,讨论了直觉模糊集的扩展原理的有关性质;最后,研究了复合函数的直觉模糊集扩展原理及其性质。
Based on the cut sets,decomposition theorem and representation of an intuitionistic fuzzy set（IFS） in paper [1],by the use of the extension principle of fuzzy set,the extension principle of IFS are established in this paper.Firstly,the extension principle of IFS and their equivalence forms are given;Secondly,the properties of extension principle of IFS are discussed;Finally,the IFS＇s extension principle of the composite functions and their properties are acquired.
出处
《模糊系统与数学》
CSCD
北大核心
2011年第2期106-113,共8页
Fuzzy Systems and Mathematics
基金
辽宁省教育厅高等学校科学研究项目(20060073)
关键词
扩展原理
截集
直觉模糊集
直觉模糊集的扩展原理
Extension Principle
Cut Sets
Intuitionistic Fuzzy Sets
Extension Principle of Intuitionistic Fuzzy Sets
