Generalized fuzzy subhyperspaces based on fuzzy points

Authors : Omid Reza DEHGHAN, M. NOROUZI

Pages : 782-793

Doi:10.31801/cfsuasmas.606591

View : 12 | Download : 9

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :We define insert ignore into journalissuearticles values(∈,∈∨q^{δ});-fuzzy subhyperspaces and insert ignore into journalissuearticles values(∈,∈∨q_{k}^{δ});-fuzzy subhyperspaces, as a generalization of fuzzy subhyperspaces, insert ignore into journalissuearticles values(∈,∈∨q);-fuzzy subhyperspaces and insert ignore into journalissuearticles values(∈,∈∨q_{k});-fuzzy subhyperspaces. In this way, we show that insert ignore into journalissuearticles values(∈,∈∨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