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Weights And Their Use Of Them In Mathmatics

Posted on:2006-02-13Degree:MasterType:Thesis
Country:ChinaCandidate:Y P FuFull Text:PDF
GTID:2120360155464368Subject:Applied Mathematics
Abstract/Summary:PDF Full Text Request
We introduce the notion of weight in this paper, we have shown that many fuzzy structures can be characterized by making use of weight. Furthermore, we have given a concrete description of many structures using the notion of weight. First, we introduce the definition of weight, anti-fuzzy subgroup and intuitionistic fuzzy subgroup . And discuss the one to one relations between weight and anti-fuzzy subgroup , intuitionistic weight and  intuitionistic fuzzy subgroup . secondly, regular weight is introduced on the base of the definition of regular fuzzy subgroup. And regular fuzzy subgroup which can be characterized by making use of weight is proved. Thirdly, we introduce the definition of convex fuzzy set and convex  intuitionistic fuzzy set. And discuss the characters of them .we proved the one to one relations between them. Finally,we introduce the notions of fuzzifying topology and intuitionistic fuzzifying topology, discuss the using of weight and regular weight in the fuzzifying topology and intuitionistic fuzzifying topology.
Keywords/Search Tags:weight, anti-fuzzy subgroup, regular fuzzy subgroup, intuitionistic fuzzy subgroup, convex fuzzy set, convex  intuitionistic fuzzy set, fuzzifying topology, intuitionistic fuzzifying topology
PDF Full Text Request
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