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Article type: Research Article
Authors: Moradian, R.a | Shoar, S. Khosravib; * | Radfar, A.c
Affiliations: [a] Department of Mathematics, Ilam University, Ilam, Iran | [b] Department of Mathematics, Fasa University, Fasa, Iran | [c] Department of Mathematics, Payame Noor University, Tehran, Iran
Correspondence: [*] Corresponding author. S. Khosravi Shoar, Department of Mathematics, Fasa University, Fasa, Iran. Tel.: +987153344748; Fax: +987153343848; E-mail: [email protected].
Abstract: In this paper by considering of congruence relations induced by fuzzy ideals, we study rough sets in BCK-algebras. To this purpose we clarify a lower and upper approximations for any subset of X in this algebras. Finally, lower and upper rough ideals with respect to fuzzy ideal μ of X are discussed.
Keywords: Fuzzy ideal, lower and upper approximation, regular congruence relation, rough ideal, rough set
DOI: 10.3233/IFS-152008
Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 4, pp. 2397-2404, 2016
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