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Fuzzy GE-filters of GE-algebras | ||
| Journal of Algebra and Related Topics | ||
| دوره 12، شماره 2، فروردین 2025، صفحه 1-15 اصل مقاله (311.67 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2024.23242.1459 | ||
| نویسندگان | ||
| R. Bandaru* 1؛ T. G. Alemayehu2؛ Y. B. Jun3 | ||
| 1Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati-522237, Andhra Pradesh, India | ||
| 2Department of Mathematics, Debre Berhan University, Debre Berhan, Ethiopia | ||
| 3Department of Mathematics Education Gyeongsang National University Jinju 52828, Korea | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| fuzzy GE-algebra؛ fuzzy GE-filter؛ ∈t-set؛ Qt-set | ||
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آمار تعداد مشاهده مقاله: 79 تعداد دریافت فایل اصل مقاله: 116 |
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