Folding theory applied to pseudo-hoops
- Authors
- Borzooei, R. A.; Alavi, S. Z.; Kologani, M. Aaly; Shin, 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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Collections - College of Education > Department of Mathematics Education > 1. Journal Articles

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