Dense Elements in B-Almost Distributive Fuzzy Lattices

Q4 Mathematics

Philippine Statistician Pub Date : 2022-07-20 DOI:10.17762/msea.v71i3s2.210

K. R. V. Maheswari, V. Balaji

引用次数: 0

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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b -概分配模糊格中的密集元素

本文定义了B-概分布模糊格BADFL中稠密元素的概念，并证明了的所有稠密元素的集合是的蕴涵滤子。此外，我们在的所有闭元的集合中建立了一个到的模糊同态，并证明了到的模糊同构的存在性。我们证明了和是模糊同构的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Philippine Statistician Mathematics-Statistics and Probability

CiteScore

0.50

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0.00%

发文量

期刊介绍： 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