{"title":"Extended Equivalence of Fuzzy Sets","authors":"Venkat Murali, Sithembele Nkonkobe","doi":"arxiv-2406.16951","DOIUrl":null,"url":null,"abstract":"Preferential equality is an equivalence relation on fuzzy subsets of finite\nsets and is a generalization of classical equality of subsets. In this paper we\nintroduce a tightened version of the preferential equality on fuzzy subsets and\nderive some important combinatorial formulae for the number of such tight fuzzy\nsubsets of an n-element set where n is a natural number. We also offer some\nasymptotic results","PeriodicalId":501502,"journal":{"name":"arXiv - MATH - General Mathematics","volume":"23 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - General Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2406.16951","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Preferential equality is an equivalence relation on fuzzy subsets of finite
sets and is a generalization of classical equality of subsets. In this paper we
introduce a tightened version of the preferential equality on fuzzy subsets and
derive some important combinatorial formulae for the number of such tight fuzzy
subsets of an n-element set where n is a natural number. We also offer some
asymptotic results
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