T-syntopogenous structures compatible with fuzzy T-uniformities and fuzzy T-neighbourhoods structures

In this paper, we continue the discussion of T-syntopogenous spaces, which were introduced by the second author in 2012. This manuscript shows that the T-syntopogenous spaces agree well with Hashem–Morsi fuzzy T-neighbourhood spaces (2003), fuzzy T-proximity spaces (2002) and Höhle fuzzy T-uniform spaces (1982). Also, we show that each syntopogenous space in the sense of Csàszàr (1963), generates a T-syntopogenous space. Finally, we deduce the concept of fuzzy T-neighbourhood syntopogenous structures and some related results.