Folding theory applied to pseudo-hoops
R. A. Borzooei, S. Z. Alavi, Mona Aaly Kologani, Sun Shin Ahn · Journal of Intelligent & Fuzzy Systems · 2020
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.