The cut sets,decomposition theorems and representation theorems on intuitionistic fuzzy sets and interval valued fuzzy sets
The cut sets,decomposition theorems and representation theorems on intuitionistic fuzzy sets and interval valued fuzzy sets作者机构：School of Electronic and Information Engineering Dalian University of Technology Dalian China
出 版 物：《Science China(Information Sciences)》 (中国科学:信息科学(英文版))
年 卷 期：2011年第54卷第1期
页 面：91-110页
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
主 题：intuitionistic fuzzy sets interval valued fuzzy sets triple valued fuzzy sets cut sets decomposition theorem representation theorem
摘 要：In this paper,the cut sets,decomposition theorems and representation theorems of intuitionistic fuzzy sets and interval valued fuzzy sets are researched ***,new definitions of four kinds of cut sets on intuitionistic fuzzy sets are introduced,which are generalizations of cut sets on Zadeh fuzzy sets and have the same properties as that of Zadeh fuzzy ***,based on these new cut sets,the decomposition theorems and representation theorems on intuitionistic fuzzy sets are *** kind of cut sets corresponds to two kinds of decomposition theorems and representation *** eight kinds of decomposition theorems and representation theorems on intuitionistic fuzzy sets are obtained,*** last,new definitions of cut sets on interval valued fuzzy sets are given based on the theory of cut sets on intuitionistic fuzzy sets,and eight kinds of decomposition theorems and representation theorems on interval valued fuzzy sets are also obtained. These results provide a fundamental theory for the research of intuitionistic fuzzy sets and interval valued fuzzy sets.
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