Soft Set Theory Applied to Hoops

Autor: Borzooei R. A., Babaei E., Jun Y. B., Kologani M. Aaly, Takallo M. Mohseni
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, Vol 28, Iss 1, Pp 61-79 (2020)
Druh dokumentu: article
ISSN: 1844-0835
DOI: 10.2478/auom-2020-0004
Popis: 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.
Databáze: Directory of Open Access Journals