Rough set theory applied to fuzzy filters in $BE$-algebras

Sun Shin Ahn; Chol Kim

doi:10.4134/CKMS.c150168

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Commun. Korean Math. Soc. 2016; 31(3): 451-460

Printed July 31, 2016

https://doi.org/10.4134/CKMS.c150168

Rough set theory applied to fuzzy filters in $BE$-algebras

Sun Shin Ahn and Chol Kim

Dongguk University, Dongguk University

Abstract

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Abstract

The notion of a rough fuzzy filter ina $BE$-algebra is introduced and some properties of such a filter are investigated. The relations between the upper (lower) rough filters and the upper (lower) approximations of their homomorphism images are discussed.

Keywords: rough sets, rough filters, rough fuzzy filters

MSC numbers: 06F35, 03G25