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 $\in_{t}$-set and $Q_{t}$-set of a fuzzy set $f$ in a GE-algebra $X$ are introduced and defined fuzzy GE-algebra in terms of $\in_{t}$-set‎. ‎We provided conditions for the $\in_{t}$-set and $Q_{t}$-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 $\in_{t}$-set and $Q_{t}$-set can be‎ ‎GE-filters‎. ‎Some characterizations of fuzzy GE-filters of GE-algebras are given‎.

Keywords

References

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

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