Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras-Reference-Cited by-同舟云学术

Strong fuzzy GE-filters and fuzzy GE-ideals of bordered GE-algebras

Published:2023-01-01 Issue:1 Volume:11 Page:
ISSN:2299-3231
Container-title:Topological Algebra and its Applications
language:en
Short-container-title:

Author:

Alemayehu Teferi Getachew¹,Eshetie Workaferahu Solomon²,Bandaru Ravikumar³,Jun Young Bae⁴

Affiliation:

1. Department of Mathematics, Debre Berhan University , 445 Debre Berhan , Ethiopia

2. Department of Mathematics, Debre Berhan College of Education , 445 Debre Berhan , Ethiopia

3. Department of Mathematics, School of Advanced Sciences, VIT-AP University , Andhra Pradesh 522237 , India

4. Department of Mathematics Education, Gyeongsang National University , Jinju 52828 , Korea

Abstract

Abstract The notion of strong fuzzy generalized exchange (GE)-filters and fuzzy GE-ideals of bordered GE-algebras is studied, and their related properties are investigated. We proved that the intersection of strong fuzzy GE-filters (fuzzy GE-ideals) is a strong fuzzy GE-filter (fuzzy GE-ideal). We studied the conditions for a fuzzy subset of a bordered GE-algebra to be a strong fuzzy GE-filter and the characterization of a strong fuzzy GE-filter. We studied that under some conditions, any fuzzy subset of a bordered GE-algebra can be a fuzzy GE-ideal. A given fuzzy GE-ideal and an element in a bordered fuzzy GE-algebra is established.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/taa-2023-0104/pdf

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