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Fuzzy Filters of Hoops Based on Fuzzy Points

Author

Listed:
  • 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)

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.

Suggested Citation

  • Mona Aaly Kologani & Mohammad Mohseni Takallo & Hee Sik Kim, 2019. "Fuzzy Filters of Hoops Based on Fuzzy Points," Mathematics, MDPI, vol. 7(5), pages 1-11, May.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:5:p:430-:d:231076
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    Cited by:

    1. Rajab Ali Borzooei & Mona Aaly Kologani & Mahdi Sabet Kish & Young Bae Jun, 2019. "Fuzzy Positive Implicative Filters of Hoops Based on Fuzzy Points," Mathematics, MDPI, vol. 7(6), pages 1-14, June.

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