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  • 한국과학기술정보연구원(KISTI) 서울분원 대회의실(별관 3층)
  • 2024년 07월 03일(수) 13:30
 

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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ON n-FOLD IMPLICATIVE VAGUE FILTERS IN BE-ALGEBRAS

ON n-FOLD IMPLICATIVE VAGUE FILTERS IN BE-ALGEBRAS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2012, v.19 no.2, pp.127-136
https://doi.org/10.7468/jksmeb.2012.19.2.127
Park, Sang-Tae (Department of Mathematics Education, Dongguk University)
Ahn, Sun-Shin (Department of Mathematics Education, Dongguk University)

Abstract

In this paper, we introduce the notion of an implicative vague filter in BE-algebras, and investigate some properties of them. Also we give conditions for a vague set to be an implicative vague filter, and we characterize implicative vague filters in BE-algebras. We define the notion of <TEX>$n$</TEX>-fold implicative vague filters in BE-algebras and we give characterizations of <TEX>$n$</TEX>-fold implicative vague filters and <TEX>$n$</TEX>-fold implicative BE-algebras.

keywords
BE-algebra, vague set, filter, (n-fold) implicative filter

참고문헌

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한국수학교육학회지시리즈B:순수및응용수학