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Soft Set Theory Applied to Hoopsopen access
- Issue Date
- Mar-2020
- Publisher
- Ovidius University
- Keywords
- Soft set; hoop; soft hoop; Heyting algebra
- Citation
- Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, v.28, no.1, pp 61 - 79
- Pages
- 19
- Indexed
- SCIE
SCOPUS
- Journal Title
- Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
- Volume
- 28
- Number
- 1
- Start Page
- 61
- End Page
- 79
- ISSN
- 1224-1784
1844-0835
- 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 circle dot 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.
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