Soft Set Theory Applied to Hoops

R. A. Borzooei; E. Babaei; Y. B. Jun; M. Aaly Kologani; M. Mohseni Takallo

doi:10.2478/auom-2020-0004

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Soft Set Theory Applied to Hoops

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 28 (2020): Issue 1 (March 2020)

By: R. A. Borzooei, E. Babaei, Y. B. Jun, M. Aaly Kologani and M. Mohseni Takallo

Open Access

|Apr 2020

Abstract

In this paper, we introduced the concept of a soft hoop and we investigated some of their properties. Then, we established different types of intersections and unions of the family of soft hoops. We defined two operations ⊙ and → on the set of all soft hoops and we proved that with these operations, it is a hoop and also is a Heyting algebra. Finally we introduced a congruence relation on the set of all soft hoops and we investigated the quotient of it.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2020-0004 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 61 - 79

Submitted on: Apr 3, 2019

Accepted on: Jul 23, 2019

Published on: Apr 9, 2020

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

hoop,

Related subjects:

© 2020 R. A. Borzooei, E. Babaei, Y. B. Jun, M. Aaly Kologani, M. Mohseni Takallo, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 28 (2020): Issue 1 (March 2020)