{"title":"Dense Elements in B-Almost Distributive Fuzzy Lattices","authors":"K. R. V. Maheswari, V. Balaji","doi":"10.17762/msea.v71i3s2.210","DOIUrl":null,"url":null,"abstract":"In this paper we define the concept of a dense element in a B-Almost Distributive Fuzzy Lattice BADFL and prove that the set of all dense elements of is an implicative filter of . Also, we establish a fuzzy epimorphism of into the set of all closed elements ofand prove the existence of an fuzzy epimorphism of into . We prove that and are fuzzy isomorphic.","PeriodicalId":37943,"journal":{"name":"Philippine Statistician","volume":" ","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2022-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Philippine Statistician","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.17762/msea.v71i3s2.210","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"Mathematics","Score":null,"Total":0}
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Abstract
In this paper we define the concept of a dense element in a B-Almost Distributive Fuzzy Lattice BADFL and prove that the set of all dense elements of is an implicative filter of . Also, we establish a fuzzy epimorphism of into the set of all closed elements ofand prove the existence of an fuzzy epimorphism of into . We prove that and are fuzzy isomorphic.
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The Journal aims to provide a media for the dissemination of research by statisticians and researchers using statistical method in resolving their research problems. While a broad spectrum of topics will be entertained, those with original contribution to the statistical science or those that illustrates novel applications of statistics in solving real-life problems will be prioritized. The scope includes, but is not limited to the following topics: Official Statistics Computational Statistics Simulation Studies Mathematical Statistics Survey Sampling Statistics Education Time Series Analysis Biostatistics Nonparametric Methods Experimental Designs and Analysis Econometric Theory and Applications Other Applications
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