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Extended Fuzzy $BCK$-subalgebras | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 10، دوره 13، شماره 4، آبان 2016، صفحه 125-144 اصل مقاله (170.09 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2016.2600 | ||
| نویسندگان | ||
Jianming Zhan1؛ Mohammad Hamidi2؛ Arsham Borumand Saeid  3
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| 1Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China | ||
| 2Department of Mathematics, Payame Noor University, Tehran, Iran | ||
| 3Department of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, Iran | ||
| چکیده | ||
| This paper extends the notion of fuzzy $BCK$-subalgebras to fuzzy hyper $BCK$-subalgebras and defines an extended fuzzy $BCK$-subalgebras. This study considers a type of fuzzy hyper $BCK$-ideals in this hyperstructure and describes the relationship between hyper $BCK$-ideals and fuzzy hyper $BCK$-ideals. In fact, it tries to introduce a strongly regular relation on hyper $BCK$-algebras. Moreover, by using the fuzzy hyper $BCK$-ideals, it defines a congruence relation on (weak commutative) hyper $BCK$-algebras that under some conditions is strongly regular and the quotient of any hyper $BCK$-algebra via this relation is a $($hyper $BCK$-algebra$)$ $BCK$-algebra. | ||
| کلیدواژه‌ها | ||
| Extended fuzzy $BCK$-subalgebra؛ (Strongly) Fuzzy hyper $BCK$-ideal؛ Fundamental relation $beta^*$ | ||
| مراجع | ||
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