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\(\theta\)-compact fuzzy topological spaces. (English) Zbl 1070.54501

Summary: We introduce and study the notion of \(\theta\)-compactness for fuzzy topological spaces.

MSC:

54A40 Fuzzy topology
54D30 Compactness
Full Text: DOI

References:

[1] Bhoumik, R. N.; Mukherjee, A., Fuzzy weakly completely continuous functions, Fuzzy Sets and Systems, 55, 347-354 (1993) · Zbl 0807.54010
[2] Caldas M, Navalagi G, Saraf R. Weakly \(θ\); Caldas M, Navalagi G, Saraf R. Weakly \(θ\) · Zbl 1130.54302
[3] Chang, C. L., Fuzzy topological spaces, J Math Anal Appl, 24, 182-192 (1968) · Zbl 0167.51001
[4] El-Naschie, M. S., On the uncertainty of cantorian geometry and the two-slit experiment, Chaos, Solitons & Fractals, 9, 3, 517-529 (1998) · Zbl 0935.81009
[5] El-Naschie, M. S., On the certification of heterotic strings, M theory and \(ε^∞\) theory, Chaos, Solitons & Fractals, 2397-2408 (2000) · Zbl 1008.81511
[6] Mashhour, A. S.; Ghanim, M. H.; Fath Alla, M. A., On fuzzy non-continuous mappings, Bull Calcutta Math Soc, 78, 57-69 (1986) · Zbl 0604.54008
[7] Ming, P. P.; Ming, L. Y., Fuzzy topology I. Neighborhood structure of fuzzy point and Moore-Smith convergence, J Math Anal Appl, 76, 571-594 (1980) · Zbl 0447.54006
[8] Mukherjee, M. N.; Sinha, S. P., Fuzzy \(θ\)-closure operator on fuzzy topological spaces, Int J Math Math Sci, 14, 309-314 (1991) · Zbl 0738.54002
[9] Mukherjee, M. N.; Sinha, S. P., On some near-fuzzy continuous functions between fuzzy topological spaces, Fuzzy Sets and Systems, 34, 245-254 (1990) · Zbl 0706.54005
[10] Nanda, S., On fuzzy topological spaces, Fuzzy Sets and Systems, 19, 193-197 (1986) · Zbl 0603.54004
[11] Park, J. H.; Young Lee, B.; Choi, J. R., Fuzzy \(θ\)-connectedness, Fuzzy Sets and Systems, 59, 237-244 (1993) · Zbl 0805.54014
[12] Petricevic, Z., Weak forms of continuity in fuzzy topology, Mat Vesnik, 42, 35-44 (1990) · Zbl 0719.54006
[13] Zadeh, L. A., Fuzzy sets, Inform and Control, 8, 338-353 (1965) · Zbl 0139.24606
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