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Keywords = (∈, ∈ ∨ q)-fuzzy sub-hoop

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11 pages, 282 KiB  
Article
Fuzzy Filters of Hoops Based on Fuzzy Points
by Mona Aaly Kologani, Mohammad Mohseni Takallo and Hee Sik Kim
Mathematics 2019, 7(5), 430; https://doi.org/10.3390/math7050430 - 14 May 2019
Cited by 9 | Viewed by 2112
Abstract
In this paper, we define the concepts of ( , ) and ( , q ) -fuzzy filters of hoops, discuss some properties, and find some equivalent definitions of them. We define a congruence relation on hoops by [...] Read more.
In this paper, we define the concepts of ( , ) and ( , q ) -fuzzy filters of hoops, discuss some properties, and find some equivalent definitions of them. We define a congruence relation on hoops by an ( , ) -fuzzy filter and show that the quotient structure of this relation is a hoop. Full article
(This article belongs to the Section E1: Mathematics and Computer Science)
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