论文信息 - Completely regular fuzzifying topological spaces

Completely regular fuzzifying topological spaces

Some of the properties of the completely regular fuzzifying topological spaces are investigated. It is shown that a fuzzifying topology τ is completely regular if and only if it is induced by some fuzzy uniformity or equivalently by some fuzzifying proximity. Also, τ is completely regular if and only if it is generated by a family of probabilistic pseudometrics.

Athanasios K. Katsaras

[1] Mingsheng Ying,et al. On the method of neighborhood systems in fuzzy topology , 1994 .

[2] Ulrich H ohle. Probabilistic metrization of fuzzy uniformities , 1982 .

[3] Ulrich Höhle,et al. Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory , 1998 .

[4] YingMingsheng. A new approach for fuzzy topology (I) , 1991 .

[5] U. Höhle,et al. Characterization Of L-Topologies By L-Valued Neighborhoods , 1999 .

[6] M. Ying. A new approach for fuzzy topology (II) , 1991 .

[7] Dexue Zhang,et al. Categories isomorphic to FNS , 1999, Fuzzy Sets Syst..

[8] M.Azab Abd-Alla,et al. ON FUZZIFYING TOPOLOGICAL SPACES , 2002 .

[9] Dogan Çoker,et al. Convergence in I-fuzzy topological spaces , 2005, Fuzzy Sets Syst..

[10] U. Höhle. Upper semicontinuous fuzzy sets and applications , 1980 .