Abstract
In this paper we give a new definition of a fuzzy syntopogenous structure. It turns out that this definition agrees very well with the fuzzy neighbourhood structures, the Lowen fuzzy uniformities and the Artico-Moresco fuzzy proximities. More precisely, it is shown that there is a one-to-one correspondence between the fuzzy neighbourhood structures and the so called perfect fuzzy topogenous structures. Also there is a one-to-one correspondence between the Artico-Moresco fuzzy proximities and the symmetrical fuzzy topogenous structures. Finally, it is proved that there exists a one-to-one correspondence between the Lowen fuzzy uniformities and the symmetrical biperfect fuzzy syntopogenous structures.
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