Fuzzy Filters of Hoops Based on Fuzzy Points

Mona Aaly Kologani, Mohammad Mohseni Takallo and Hee Sik Kim
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Mona Aaly Kologani: Hatef Higher Education Institute, Zahedan 8301, Iran
Mohammad Mohseni Takallo: Department of Mathematics, Shahid Beheshti University, Tehran 7561, Iran
Hee Sik Kim: Department of Mathematics, Research Institute of Natural Sciences, Hanyang University, Seoul 04763, Korea

Mathematics, 2019, vol. 7, issue 5, 1-11

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 an ( ∈ , ∈ ) -fuzzy filter and show that the quotient structure of this relation is a hoop.

Keywords: sub-hoop; (?, ?)-fuzzy sub-hoop; (?, ? ? q )-fuzzy sub-hoop; (?, ?)-fuzzy filter; (?, ? ? q )-fuzzy filter (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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