- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 69 Issue: 1
- Generalized fuzzy subhyperspaces based on fuzzy points
Generalized fuzzy subhyperspaces based on fuzzy points
Authors : Omid Reza Dehghan, M. Norouzi
Pages : 782-793
Doi:10.31801/cfsuasmas.606591
View : 6 | Download : 8
Publication Date : 2020-06-30
Article Type : Research
Abstract :We define (∈,∈∨q^{δ})-fuzzy subhyperspaces and (∈,∈∨q_{k}^{δ})-fuzzy subhyperspaces, as a generalization of fuzzy subhyperspaces, (∈,∈∨q)-fuzzy subhyperspaces and (∈,∈∨q_{k})-fuzzy subhyperspaces. In this way, we show that (∈,∈∨q_{k}^{δ})-fuzzy subhyperspaces are the largest family of generalized fuzzy subhyperspaces based on concepts of belongingness and quasi-coincidence. Moreover, we study some properties and investigate the difference of generalized fuzzy subhyperspaces, supported by examples.Keywords : hypervector space, fuzzy subhyperspace, fuzzy point