Fuzzy Positive Implicative Filters of Hoops Based on Fuzzy Points

In this paper, we introduce the notions of ( ∈ , ∈ ) -fuzzy positive implicative filters and ( ∈ , ∈ ∨ q ) -fuzzy positive implicative filters in hoops and investigate their properties. We also define some equivalent definitions of them, and then we use the congruence relation on hoop defined in blu...

Full description

Saved in:
Bibliographic Details
Published in:Mathematics (Basel) 2019-06, Vol.7 (6), p.566
Main Authors: Borzooei, Rajab Ali, Aaly Kologani, Mona, Sabet Kish, Mahdi, Jun, Young Bae
Format: Article
Language:English
Subjects:
Brouwerian semilattice
Food science
fuzzy points
fuzzy positive implicative filter
Fuzzy sets
hoop
Hoops
Quotients
sub-hoop
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we introduce the notions of ( ∈ , ∈ ) -fuzzy positive implicative filters and ( ∈ , ∈ ∨ q ) -fuzzy positive implicative filters in hoops and investigate their properties. We also define some equivalent definitions of them, and then we use the congruence relation on hoop defined in blue[Aaly Kologani, M.; Mohseni Takallo, M.; Kim, H.S. Fuzzy filters of hoops based on fuzzy points. Mathematics. 2019, 7, 430; doi:10.3390/math7050430] by using an ( ∈ , ∈ ) -fuzzy filter in hoop. We show that the quotient structure of this relation is a Brouwerian semilattice.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7060566