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- Title
THE CONCEPT OF INVERSE α-CUTS IN MULTI Q-FUZZY SET.
- Authors
Isah, A. I.; Alkali, A. J.; Tella, Y.
- Abstract
In various mathematical theories such as fuzzy sets, fuzzy multisets, fuzzy soft sets, the concept of α-Cuts were applied together with their inverses. However, we noticed that in multi Q-fuzzy sets only α-Cuts were studied without their inverses. In this paper the concept of inverse α-Cuts and their properties in multi Q-fuzzy sets were introduced. Some distinctive features of α-Cuts and inverse α-Cuts were demonstrated. It is shown that as both first and second decomposition theorems hold in the former, it actually fails in the latter. Moreover, unlike α -cuts, it was discovered that, a multi Q-fuzzy set cannot be uniquely represented as the family of all its weak inverse α -cuts. Thus, both α -cuts and inverse α -cuts attract applications in many mathematical fields.
- Subjects
FUZZY sets; SET theory; SOFT sets
- Publication
Bayero Journal of Pure & Applied Sciences, 2022, Vol 15, Issue 1, p19
- ISSN
2006-6996
- Publication type
Article
- DOI
10.4314/bajopas.v15i1.3