Folding theory applied to pseudo-hoops

In this paper, by considering the notion of pseudo-hoops, which introduced by Georgescu [10], we presented the concepts of n-fold filters in pseudo-hoop. Concerning ideas, we gave some related results. Also, we extended our definition to n-fold (positive) implicative and n-fold fantastic filters and...

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Bibliographic Details
Published inJournal of intelligent & fuzzy systems Vol. 39; no. 1; pp. 1381 - 1390
Main Authors Borzooei, R. A., Alavi, S. Z., Kologani, M. Aaly, Ahn, Sun Shin
Format Journal Article
LanguageEnglish
Published Amsterdam IOS Press BV 01.01.2020
Subjects
Hoops
Quotients
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Summary:In this paper, by considering the notion of pseudo-hoops, which introduced by Georgescu [10], we presented the concepts of n-fold filters in pseudo-hoop. Concerning ideas, we gave some related results. Also, we extended our definition to n-fold (positive) implicative and n-fold fantastic filters and investigated their properties and the relation among these n-fold filters. In particular, we proved that every n-fold fantastic and positive implicative filter is an n-fold implicative filter. Finally, we studied the quotient of these filters.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-200179