Generalized fuzzy subhyperspaces based on fuzzy points

Yıl 2020, Cilt: 69 Sayı: 1, 782 - 793, 30.06.2020

Omid Reza Dehghan M. Norouzı

https://doi.org/10.31801/cfsuasmas.606591

Öz

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.

Anahtar Kelimeler

hypervector space, fuzzy subhyperspace, fuzzy point

Kaynakça

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