The concepts of fuzzy continuity, product and quotient spaces are presented, and their fundamental properties are obtained in fuzzifying topology.
We introduce the concept of compactness and establish a generalization of Tychonoff's theorem in the framework of fuzzifying topology.
Ying, M 1993, 'Fuzzifying Topology Based On Complete Residuated Lattice-Valued Logic .1.', Fuzzy Sets and Systems, vol. 56, no. 3, pp. 337-373.
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We greatly extend fuzzifying topology by introducing a unary fuzzy predicate interpreted as the property to be fuzzifying topological spaces on the class of all so-called fuzzifying pretopological spaces and by adopting the semantic method of complete re
We introduce the concept of fuzzifying uniform spaces in the framework of fuzzifying topology and establish some fundamental properties of fuzzifying uniform spaces.