<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

Publié en ligne: 09 avr. 2020

Pages: 61 - 79

Reçu: 03 avr. 2019

Accepté: 23 juil. 2019

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

Mots clés
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

Publié en ligne: 09 avr. 2020

Pages: 61 - 79

Reçu: 03 avr. 2019

Accepté: 23 juil. 2019

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

Mots clésSoft 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.

Mots clés
Soft set, hoop, soft hoop, Heyting algebra