Saturated fuzzy syntopogenous spaces

In this paper, we introduce the notion of saturated fuzzy topogenous orders and using this order, we introduce the notion of saturated fuzzy syntopogenous spaces and we prove basic properties of this space. We show that the category [FSyn] of saturated fuzzy syntopogenous spaces and continuous maps is coreflective in the category KFSyn of fuzzy syntopogenous spaces (in the sense of Katsaras) and continuous maps. Moreover, we show that (1) [bFSyn] and QFUnif are isomorphic. (2) [sbFSyn] and FUnif are isomorphic. (3) [ptFSyn] and FTop are isomorphic. (4) [tFSyn] and [FProx] are isomorphic. (5) [tFSyn] is coreflective in tKFSyn. (6) [FProx] is coreflective in FProx. (7) [ptFSyn] is coreflective in ptKFSyn.