Int-Soft Filters in Hoops

In this paper, we introduce the notion of int-soft filters in hoops and related properties are investigated. Characterizations of int-soft filters are discussed and we introduce a congruence relation by using int-soft filter and we show that the quotient is a hoop. Also, we introduce the notions of...

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Bibliographic Details
Published inINTERNATIONAL JOURNAL of FUZZY LOGIC and INTELLIGENT SYSTEMS Vol. 19; no. 3; pp. 213 - 222
Main Authors Borzooei, R. A., Sabetkish, M., Roh, E. H., Kologani, M. Aaly
Format Journal Article
LanguageEnglish
Published 한국지능시스템학회 2019
Subjects
전기공학
Int-soft filter
γ-inclusive set
Hoop
Soft set
n-fold implicative (positive implicative
fantastic) filter
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Summary:In this paper, we introduce the notion of int-soft filters in hoops and related properties are investigated. Characterizations of int-soft filters are discussed and we introduce a congruence relation by using int-soft filter and we show that the quotient is a hoop. Also, we introduce the notions of int-soft n-fold (positive) implicative and int-soft n-fold fantastic filters of hoops, we study some equivalence definitions of them and the relation between them, we prove that every int-soft n-fold positive implicative filter is an int-soft fantastic filter and int-soft implicative filter. Also, we investigate about the quotient structure that is made by them. KCI Citation Count: 0
ISSN:1598-2645
2093-744X
DOI:10.5391/IJFIS.2019.19.3.213