Dehghan, Omid RezaNorouzi, M.2021-11-112021-11-112019-06-30https://doi.org/10.31801/cfsuasmas.606591http://hdl.handle.net/20.500.12575/76026We 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.enHypervector spaceFuzzy subhyperspaceFuzzy pointArticle6917827932618-6470