<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

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

{"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

Online veröffentlicht: 09. Apr. 2020

Seitenbereich: 61 - 79

Eingereicht: 03. Apr. 2019

Akzeptiert: 23. Juli 2019

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

Schlüsselwörter
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

Online veröffentlicht: 09. Apr. 2020

Seitenbereich: 61 - 79

Eingereicht: 03. Apr. 2019

Akzeptiert: 23. Juli 2019

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

SchlüsselwörterSoft 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.

Schlüsselwörter
Soft set, hoop, soft hoop, Heyting algebra