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Folding theory applied to pseudo-hoops

Authors
Borzooei, R. A.Alavi, S. Z.Kologani, M. AalyShin, Sun Ahn
Issue Date
2020
Publisher
IOS PRESS
Keywords
n-fold pseudo-hoop; n-fold (positive) implicative filter; n-fold fantastic filter
Citation
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, v.39, no.1, pp 1381 - 1390
Pages
10
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF INTELLIGENT & FUZZY SYSTEMS
Volume
39
Number
1
Start Page
1381
End Page
1390
URI
https://scholarworks.dongguk.edu/handle/sw.dongguk/17920
DOI
10.3233/JIFS-200179
ISSN
1064-1246
1875-8967
Abstract
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.
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