Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2011; 26(3): 417-425

Printed September 1, 2011

https://doi.org/10.4134/CKMS.2011.26.3.417

Copyright © The Korean Mathematical Society.

On vague filters in $BE$-algebras

Sun Shin Ahn and Jung Mi Ko

Dongguk University, Gangneung-Wonju National University

Abstract

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In this paper, we introduce the notion of a vague filter in $BE$-algebras, and investigate some properties of them. Also we give conditions for a vague set to be a vague filter, and we characterize vague filters in $BE$-algebras.

Keywords: $BE$-algebra, vague set, (vague) filter

MSC numbers: 06F35

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