<abstract xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

Soft Set Theory Applied to Hoops

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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{"article-title":"Soft Set Theory Applied to Hoops"}

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...

Soft Set Theory Applied to Hoops

Published Online: Apr 09, 2020

Page range: 61 - 79

Received: Apr 03, 2019

Accepted: Jul 23, 2019

DOI: https://doi.org/10.2478/auom-2020-0004

Keywords
Soft set, hoop, soft hoop, Heyting algebra

© 2020 R. A. Borzooei et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Soft Set Theory Applied to Hoops

Published Online: Apr 09, 2020

Page range: 61 - 79

Received: Apr 03, 2019

Accepted: Jul 23, 2019

DOI: https://doi.org/10.2478/auom-2020-0004

KeywordsSoft set, hoop, soft hoop, Heyting algebra

© 2020 R. A. Borzooei et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Soft set, hoop, soft hoop, Heyting algebra