Fuzzy GE-filters of GE-algebras

Document Type : Research Paper

Authors

1 Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati-522237, Andhra Pradesh, India

2 Department of Mathematics, Debre Berhan University, Debre Berhan, Ethiopia

3 Department of Mathematics Education Gyeongsang National University Jinju 52828, Korea

Abstract

In this paper, notions of ∈t-set and Qt-set of a fuzzy set f in a
GE-algebra X are introduced and defined fuzzy GE-algebra in terms of ∈t-set. We provided conditions for the ∈t-set and Qt-set of a fuzzy set f to be GE-subalgebras of X. We provided conditions for a fuzzy set in a GE-algebra to be a fuzzy GE-algebra. The concept of fuzzy GE-filter of a GE-algebra is introduced and investigated its properties. We explored the conditions under which the ∈t-set and Qt-set can be GE-filters. Some characterizations of fuzzy GE-filters of GE-algebras are given.

Keywords

Journal of Algebra and Related Topics
Volume 12, Issue 2
January 2025
Pages 1-15

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