Fuzzy Ideals in Γ-BCK-Algebras

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2023, v.30 no.4, pp.429-442

https://doi.org/10.7468/jksmeb.2023.30.4.429

Arsham Borumand Saeid (Shahid Bahonar University of Kerman)
M. Murali Krishna Rao (Department of mathematics, Sankethika Institute of Tech. and Management, India)
Rajendra Kumar Kona (Department of mathemathics, GIS, GITAM(Deemed to be University), India)

Arsham, B. S. , M., M. K. R. , & Rajendra, K. K. (2023). . 한국수학교육학회지시리즈B:순수및응용수학, 30(4), 429-442, https://doi.org/10.7468/jksmeb.2023.30.4.429

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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.

keywords: (Γ-)BCK-algebra, subalgebra, ideal, fuzzy set, (anti)fuzzy ideal, epimorphism

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Vol.30 No.4

Fuzzy Ideals in Γ-BCK-Algebras

Abstract

한국수학교육학회지시리즈B:순수및응용수학