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Fuzzy tri-ideals and fuzzy soft tri-ideals over semirings

Rajendra Kumar Kona|Marapureddy Murali Krishna Rao
기초자연과학연구소 (The Natural Science Institute Wonkwang University)|2022.12|ANNALS OF FUZZY MATHEMATICS AND INFORMATICS|제24권 제3호|pp. 315-329|DOI 10.30948/afmi.2022.24.3.315

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참고문헌

키워드

IdealLeftSemiring(TriRight)-idealFuzzy soft tri-idealRegular semiringFuzzy tri-ideal

초록

In this paper, we introduce the notion of fuzzy tri-ideal, fuzzy soft tri-ideal over semirings and study some of their properties. Every fuzzy soft left (right) ideal over semiring is a fuzzy soft right (left) tri- ideal over semiring. We characterize the regular semiring in terms of fuzzy left ( right) tri ideals and fuzzy soft left ( right) tri-ideals over semiring.

Abstract

In this paper, we introduce the notion of fuzzy tri-ideal, fuzzy soft tri-ideal over semirings and study some of their properties. Every fuzzy soft left (right) ideal over semiring is a fuzzy soft right (left) tri- ideal over semiring. We characterize the regular semiring in terms of fuzzy left ( right) tri ideals and fuzzy soft left ( right) tri-ideals over semiring.

참고문헌 (18)

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관련 논문AI추천

Fuzzy (soft) tri-quasi ideals of $\Gamma$-semiringsMarapureddy Murali Krishna Rao, Noorbhasha Rafi, Rajendra Kumar Kona기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제27권 제2호Tri-ideals and fuzzy tri-ideals of $\Gamma$-semiringsM. Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2019 · 제18권 제2호Fuzzy soft quasi-interior ideals of Γ-semiringsM. Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2021 · 제22권 제3호T-fuzzy ideals in ordered Γ-semiringsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제2호Soft Hemirings Related to Fuzzy Set Theoryhuajunwu, Jianming Zhan경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2012 · 제52권 제1호Fuzzy bi-quasi interior ideals of Γ-semiringsMarapureddy Murali Krishna Rao, Rajendra Kumar Kona기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2025 · 제30권 제1호

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