We de…ne (2; 2 _q)-fuzzy subhyperspaces and (2; 2 _q k)-fuzzy subhyperspaces, as a generalization of fuzzy subhyperspaces, (2; 2 _q)-fuzzy subhyperspaces and (2; 2 _q k)-fuzzy subhyperspaces. In this way, we show that (2; 2 _q k)-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 di¤erence of generalized fuzzy subhyperspaces, supported by examples.