The cut sets,decomposition theorems and representation theorems on intuitionistic fuzzy sets and interval valued fuzzy sets |
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| Authors: | YUAN XueHai LI HongXing & SUN KaiBiao School of Electronic Information Engineering Dalian University of Technology Dalian China |
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| Affiliation: | YUAN XueHai,LI HongXing & SUN KaiBiao School of Electronic and Information Engineering,Dalian University of Technology,Dalian 116024,China |
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| Abstract: | In this paper,the cut sets,decomposition theorems and representation theorems of intuitionistic fuzzy sets and interval valued fuzzy sets are researched indail.First,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 sets.Second,based on these new cut sets,the decomposition theorems and representation theorems on intuitionistic fuzzy sets are established.Each kind ... |
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| Keywords: | intuitionistic fuzzy sets interval valued fuzzy sets triple valued fuzzy sets cut sets decomposition theorem representation theorem |
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