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On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity. (English) Zbl 0511.54006


MSC:

54A40 Fuzzy topology
54C08 Weak and generalized continuity
54C10 Special maps on topological spaces (open, closed, perfect, etc.)
54A05 Topological spaces and generalizations (closure spaces, etc.)

Citations:

Zbl 0499.54001
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Full Text: DOI

References:

[1] Biswas, N., On some mappings in topological spaces, Bull. Calcutta Math. Soc., 61, 127-135 (1969) · Zbl 0215.51605
[2] Biswas, N., On characterizations of semi-continuous functions, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 48, 399-402 (1970) · Zbl 0199.25602
[3] Chang, C. L., Fuzzy topological spaces, J. Math. Anal. Appl., 24, 182-190 (1968) · Zbl 0167.51001
[4] Dugundji, J., Topology (1966), Allyn & Bacon: Allyn & Bacon Boston · Zbl 0144.21501
[5] Foster, D. H., Fuzzy topological groups, J. Math. Anal. Appl., 67, 549-564 (1979) · Zbl 0409.22001
[6] Goguen, J. A., L-fuzzy sets, J. Math. Anal. Appl., 18, 145-174 (1967) · Zbl 0145.24404
[7] Hutton, B.; Reilly, I. L., Separation Axioms in Fuzzy Topological Spaces, Department of Mathematics, University of Auckland, Report No. 55 (March 1974)
[8] Katsaras, A. K.; Liu, D. B., Fuzzy vector spaces and fuzzy topological vector spaces, J. Math. Anal. Appl., 58, 135-146 (1977) · Zbl 0358.46011
[9] Katsaras, A. K., Fuzzy proximity spaces, J. Math. Anal. Appl., 68, 100-110 (1979) · Zbl 0412.54006
[10] Levine, N., A decomposition of continuity in topological spaces, Amer. Math. Monthly, 68, 44-46 (1961) · Zbl 0100.18601
[11] Levine, N., Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly, 70, 36-41 (1963) · Zbl 0113.16304
[12] Lowen, R., Topologies flous, C. R. Acad. Sci. Paris, 278, 925-928 (1974) · Zbl 0287.54002
[13] Lowen, R., Initial and final fuzzy topologies and the fuzzy Tychonoff theorem, J. Math. Anal. Appl., 58, 11-21 (1977) · Zbl 0347.54002
[14] De Luca, A.; Termini, S., Algebraic properties of fuzzy sets, J. Math. Anal. Appl., 40, 373-386 (1972) · Zbl 0211.31002
[15] Noiri, T., On semi-continuous mapping, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur (8), 54, 132-136 (1973)
[16] Noiri, T., A generalization of closed mappings, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 54, 274-277 (1973)
[17] Noiri, T., A note on semi-continuous mappings, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8), 55, 400-403 (1973) · Zbl 0336.54012
[18] Noiri, T., On weakly continuous mappings, (Proc. Amer. Math. Soc., 46 (1974)), 120-124 · Zbl 0294.54013
[19] Rosenfeld, A., Fuzzy groups, J. Math. Anal. Appl., 35, 512-517 (1971) · Zbl 0194.05501
[20] Singal, M. K.; Singal, A. R., Almost-continuous mappings, Yokohama Math. J., 16, 63-73 (1968) · Zbl 0191.20802
[21] Warren, R. H., Continuity of mappings on fuzzy topological spaces, Notices Amer. Math. Soc., 21, A-451 (1974)
[22] Warren, R. H., Neighborhoods, bases and continuity in fuzzy topological spaces, Rocky Mountain J. Math., 8, 459-470 (1978) · Zbl 0394.54003
[23] Wong, C. K., Fuzzy topology: Product and quotient theorems, J. Math. Anal. Appl., 45, 512-521 (1974) · Zbl 0273.54002
[24] Zadeh, L. A., Fuzzy sets, Inform. and Control, 8, 338-353 (1965) · Zbl 0139.24606
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