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Fuzzy topology. I: Neighborhood structure of a fuzzy point and Moore-Smith convergence. (English) Zbl 0447.54006


MSC:

54A40 Fuzzy topology
54A20 Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.)
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References:

[1] Zadeh, L. A., Fuzzy sets, Inform. and Contr., 8, 338-353 (1965) · Zbl 0139.24606
[2] Chang, C. L., Fuzzy topological spaces, J. Math. Anal. Appl., 24, 182-189 (1968) · Zbl 0167.51001
[3] Goguen, J. A., The fuzzy Tychonoff theorem, J. Math. Anal. Appl., 43, 734-742 (1973) · Zbl 0278.54003
[4] Hutton, B., Normality in fuzzy topological spaces, J. Math. Anal. Appl., 50, 74-79 (1975) · Zbl 0297.54003
[5] Weiss, M. D., Fixed points, separation and induced topology for fuzzy sets, J. Math. Anal. Appl., 50, 142-150 (1975) · Zbl 0297.54004
[6] Wong, C. K., Covering properties of fuzzy topological spaces, J. Math. Anal. Appl., 43, 697-704 (1973) · Zbl 0259.54002
[7] Wong, C. K., Fuzzy topology: Product and quotient theorems, J. Math. Anal. Appl., 45, 312-521 (1974) · Zbl 0273.54002
[8] Wong, C. K., Fuzzy points and local properties of fuzzy topology, J. Math. Anal. Appl., 46, 316-328 (1974) · Zbl 0278.54004
[9] Goguen, J. A., \(L\)-fuzzy sets, J. Math. Anal. Appl., 18, 145-174 (1967) · Zbl 0145.24404
[10] Kelley, J. L., General Topology (1955), Princeton Univ. Press: Princeton Univ. Press Princeton · Zbl 0066.16604
[11] Bourbaki, N., Topologie générale, Actualiés Sci. Indust., 1045 (1948) · Zbl 0031.05502
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