On fuzzy quotient BCK-algebras

Goraghan,  Simin Saidi

dc.contributor.author	Goraghan, Simin Saidi	en_US
dc.date.accessioned	2020-11-04T13:28:19Z
dc.date.available	2020-11-04T13:28:19Z
dc.date.issued	2020
dc.identifier.citation	Goraghan, S. S. (2020). On fuzzy quotient BCK-algebras. TWMS Journal of Applied and Engineering Mathematics, 10(1), 59-68.	en_US
dc.identifier.issn	2146-1147
dc.identifier.issn	2587-1013
dc.identifier.uri	https://hdl.handle.net/11729/2792
dc.identifier.uri	http://jaem.isikun.edu.tr/web/index.php/archive/104-vol10no1/491
dc.description.abstract	In this paper, by considering the concept of fuzzy congruence in some algebraic structures, we specially study fuzzy congruence in BCK-algebras. We prove that there is a bijection between the set of fuzzy ideals and the set of fuzzy congruences in BCK-algebras. Then we show that for each fuzzy ideal µ, there is an associated algebra X/µ that is a BCK-algebra. Also, we obtain a congruence relation on a BCK-algebra by fuzzy ideals.	en_US
dc.language.iso	eng	en_US
dc.publisher	Işık University Press	en_US
dc.rights	info:eu-repo/semantics/openAccess	en_US
dc.rights	Attribution-NonCommercial-NoDerivs 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/3.0/us/	*
dc.subject	BCK-algebra	en_US
dc.subject	Fuzzy ideal	en_US
dc.subject	Fuzzy congruence	en_US
dc.subject	Ideals	en_US
dc.title	On fuzzy quotient BCK-algebras	en_US
dc.type	article	en_US
dc.description.version	Publisher's Version	en_US
dc.relation.journal	TWMS Journal of Applied and Engineering Mathematics	en_US
dc.identifier.volume	10
dc.identifier.issue	1
dc.identifier.startpage	59
dc.identifier.endpage	68
dc.peerreviewed	Yes	en_US
dc.publicationstatus	Published	en_US
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Başka Kurum Yazarı	en_US