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Quasi-cardinality of a Fuzzy Set on a Measurable Universe of Discourse
引用本文:耿辉,陆余楚. Quasi-cardinality of a Fuzzy Set on a Measurable Universe of Discourse[J]. 东华大学学报(英文版), 2002, 19(2)
作者姓名:耿辉  陆余楚
作者单位:GENG Hui,LU Yu-chu Department of Mathematics,Shanghai University 200436
基金项目:NationalNaturalScienceFoundationofChina .No .198310 2 0
摘    要:IntroductionThecardinalityofafuzzysetisoneoftheproblemsthathavebeeninterestedinfuzzystatisticsduetoitsvarietyofapplication .Forexampleininsuranceactuary ,thefuzzysetofpeopleinthethirdstateisrelatedtothecardinality[1] .Alsothecardinalityiscloselyrelatedto…


Quasi-cardinality of a Fuzzy Set on a Measurable Universe of Discourse
GENG Hui,LU Yu-chu. Quasi-cardinality of a Fuzzy Set on a Measurable Universe of Discourse[J]. Journal of Donghua University, 2002, 19(2)
Authors:GENG Hui  LU Yu-chu
Affiliation:Department of Mathematics, Shanghai University 200436
Abstract:The concepts of quasi-cardinality, possibility and expectation of a fuzzy set on a measurable set, as a generalization of the quasi-cardinality of a fuzzy set on a finite universe of discourse is proposed. Also some properties of them are given out and thus some relevant results are elucidated.
Keywords:Quasi-cardinality of the fuzzy set   fuzzy nature number   the measure of a set
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