On fuzzy weakly semiopen functions
DOI:
https://doi.org/10.4067/S0716-09172002000100004Keywords:
Fuzzy semi-open sets, fuzzy weakly open functions, fuzzy extremally disconnected spaces, fuzzy almost compact spaces, conjuntos difusos semiabiertos, funciones difusas débilmente abiertas, espacios difusos extremadamente desconectados.Abstract
In this paper, we introduce and characterize fuzzy weakly semiopen functions between fuzzy topological spaces as natural dual to the fuzzy weakly semicontinuous functions and also study these functions in relation to some other types of already known functions.References
[1] K.K. Azad, On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity, J.Math. Anal. Appl., 82, pp. 14-32, (1981).
[2] R.N. Bhoumik and A. Mukherjee, Fuzzy weakly completely continuous functions, Fuzzy Sets and Systems, 55, pp. 347-354, (1993).
[3] A.S. Bin Shahna, On fuzzy strong semicontinuity and fuzzy precontinuity,Fuzzy Sets and Systems, 44, pp. 303-308, (1991).
[4] C.L.Chang, Fuzzy topological spaces, J. Math. Anal Appl., 24, pp. 182-192, (1968).
[5] D.Coker and A.H.Es, On Fuzzy S-closed spaces (Preprint).
[6] S.Ganguly and S. Saha, A note on semi-open sets in fuzzy topological spaces, Fuzzy Sets and Systems, 18, pp. 83-96, (1986).
[7] B. Ghosh, Semi-continuous and semi-closed mappings and semiconnectedness in fuzzy setting, Fuzzy Sets and Systems, 35, pp. 345-355, (1990).
[8] A.S. Mashhour, M.H. Ghanim and M.A. Fath Alla, On fuzzy non-continuous mappings, Bull. Cal. Math. Soc.,78, pp. 57-69, (1986).
[9] P.P. Ming and L.Y. Ming, Fuzzy topology I. Neighborhood structure of fuzzy point and Moore-Smith convergence, J.Math. Anal. Appl., 76, pp. 571-594, (1980).
[10] M.N. Mukherjee and S.P. Sinha, fuzzy ? -closure operator on fuzzy topological spaces, Internat. J. Math. I& Math. Sci. 14, pp. 309-314, (1991).
[11] S. Nanda, On fuzzy topological spaces, Fuzzy Sets and Systems, 19(1986), pp. 193- 197, (1986).
[12] J. H. Park, Y. B. Park and J. S. Park, Fuzzy weakly open mappings and fuzzy RS-compact sets, Far East J. Math. Sci. Special Vol., Part II, pp. 201-212, (1997).
[13] D. A. Rose, On weak openness and almost openness, Internt.J.Math. I& Math. Sci., 7, pp. 35-40, (1984).
[14] T. H.Yalva¸c, Semi-interior and semi-closure of fuzzy set, J.Math. Anal.Appl., 132, pp. 356-364, (1988).
[15] L. A. Zadeh, Fuzzy sets, Inform. and Control, 8, pp. 338-353, (1965).
[2] R.N. Bhoumik and A. Mukherjee, Fuzzy weakly completely continuous functions, Fuzzy Sets and Systems, 55, pp. 347-354, (1993).
[3] A.S. Bin Shahna, On fuzzy strong semicontinuity and fuzzy precontinuity,Fuzzy Sets and Systems, 44, pp. 303-308, (1991).
[4] C.L.Chang, Fuzzy topological spaces, J. Math. Anal Appl., 24, pp. 182-192, (1968).
[5] D.Coker and A.H.Es, On Fuzzy S-closed spaces (Preprint).
[6] S.Ganguly and S. Saha, A note on semi-open sets in fuzzy topological spaces, Fuzzy Sets and Systems, 18, pp. 83-96, (1986).
[7] B. Ghosh, Semi-continuous and semi-closed mappings and semiconnectedness in fuzzy setting, Fuzzy Sets and Systems, 35, pp. 345-355, (1990).
[8] A.S. Mashhour, M.H. Ghanim and M.A. Fath Alla, On fuzzy non-continuous mappings, Bull. Cal. Math. Soc.,78, pp. 57-69, (1986).
[9] P.P. Ming and L.Y. Ming, Fuzzy topology I. Neighborhood structure of fuzzy point and Moore-Smith convergence, J.Math. Anal. Appl., 76, pp. 571-594, (1980).
[10] M.N. Mukherjee and S.P. Sinha, fuzzy ? -closure operator on fuzzy topological spaces, Internat. J. Math. I& Math. Sci. 14, pp. 309-314, (1991).
[11] S. Nanda, On fuzzy topological spaces, Fuzzy Sets and Systems, 19(1986), pp. 193- 197, (1986).
[12] J. H. Park, Y. B. Park and J. S. Park, Fuzzy weakly open mappings and fuzzy RS-compact sets, Far East J. Math. Sci. Special Vol., Part II, pp. 201-212, (1997).
[13] D. A. Rose, On weak openness and almost openness, Internt.J.Math. I& Math. Sci., 7, pp. 35-40, (1984).
[14] T. H.Yalva¸c, Semi-interior and semi-closure of fuzzy set, J.Math. Anal.Appl., 132, pp. 356-364, (1988).
[15] L. A. Zadeh, Fuzzy sets, Inform. and Control, 8, pp. 338-353, (1965).
Published
2017-05-22
How to Cite
[1]
M. Caldas Cueva, G. B. Navalagi, and R. K. Saraf, “On fuzzy weakly semiopen functions”, Proyecciones (Antofagasta, On line), vol. 21, no. 1, pp. 51-63, May 2017.
Issue
Section
Artículos
-
Attribution — You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
- No additional restrictions — You may not apply legal terms or technological measures that legally restrict others from doing anything the license permits.
