À propos de cet article
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
© 2020 R. A. Borzooei et al., published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.
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.