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Fuzzy Ideals in Γ-BCK-Algebras

Arsham Borumand Saeid|Rajendra Kumar Kona|M. Murali Krishna Rao
한국수학교육학회|2023.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제30권 제4호|pp. 429-442|DOI https://doi.org/10.7468/jksmeb.2023.30.4.429

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참고문헌

키워드

fuzzy setidealsubalgebra(Γ-)BCK-algebra(anti)fuzzy idealepimorphism
주제분류수학

초록

In this paper, we introduce the concept of fuzzy ideals, anti-fuzzy ideals of Γ-BCK-algebras. We study the properties of fuzzy ideals, anti-fuzzy ideals of Γ-BCK-algebras. We prove that if f^-1(μ) is a fuzzy ideal of M, then μ is a fuzzy ideal of N, where f : M ! N is an epimorphism of Γ-BCK-algebras M and N.

Abstract

In this paper, we introduce the concept of fuzzy ideals, anti-fuzzy ideals of Γ-BCK-algebras. We study the properties of fuzzy ideals, anti-fuzzy ideals of Γ-BCK-algebras. We prove that if f^-1(μ) is a fuzzy ideal of M, then μ is a fuzzy ideal of N, where f : M ! N is an epimorphism of Γ-BCK-algebras M and N.

참고문헌 (19)

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관련 논문AI추천

SOME RESULTS ON FUZZY IDEAL EXTENSIONS OF BCK-ALGEBRAS정원균영남수학회 · East Asian Mathematical Journal2010 · 제26권 제3호ANTI FUZZY IDEALS IN WEAK BCC-ALGEBRASBushra Karamdin영남수학회 · East Asian Mathematical Journal2010 · 제26권 제3호Fuzzy Prime Ideals of Pseudo- LBCK-algebrasAndrzej Walendziak, Grzegorz Dymek경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2015 · 제55권 제1호Fuzzy Subalgebras of Type (α, β) in BCK/BCI-Algebras전영배경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2007 · 제47권 제3호Vague BCK/BCI-algebras방금성, 소금숙, 이경자한국수학교육학회 · 이론수학과 교직수학2008 · 제15권 제3호Positive implicative vague ideals in BCK-algebrasKyoung Ja Lee, Young Bae Jun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2011 · 제1권 제1호

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