Soft Set Theory Applied to Hoops-Reference-Cited by-同舟云学术

Soft Set Theory Applied to Hoops

Published:2020-03-01 Issue:1 Volume:28 Page:61-79
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Borzooei R. A.¹,Babaei E.¹,Jun Y. B.²,Kologani M. Aaly³,Takallo M. Mohseni¹

Affiliation:

1. Department of Mathematics , Shahid Beheshti University , Tehran , Iran .

2. Department of Mathematics Education , Gyeongsang National University , Jinju 52828, Korea .

3. Hatef Higher Education Institute , Zahedan , Iran .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2020-0004

Reference26 articles.

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