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《Journal of Anhui University of Science and Technology(Natural Science)》 2008-03
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Comparative Study on Fuzzy Sets,Vague Sets and C~*-Fuzzy Sets

TIAN Yi-ming,HUANG You-rui,HUANG Yi-qing (School of Electrical and Information Engineering,Anhui University of Science and Technology,Huainan Anhui 232001,China)  
Fuzzy set,Vague set and C*-fuzzy set(new fuzzy set) are extension of classical set theory.They are also results of fuzzy set theory development.For effective use of fuzzy theory and perfecting the theory system,difference and relationship between the three sets were discussed in detail on the basis of concepts from the three sets.After reference to the C*-fuzzy set framework uniformly defined in probability theory,a new Vague relation was proposed.The complete theoretical foundation was established for dealing with problems of uncertainty.Finally development and application of the three sets were discussed.
【CateGory Index】: TP18
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【Co-citations】
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