On some functions concerning fuzzy PG-closed sets
DOI:
https://doi.org/10.4067/S0716-09172006000300004Keywords:
Fuzzy topological spaces, Fpg-closed sets, fuzzypreopen sets, fuzzy preclosed functions, fuzzy pre-irresolute functions, fuzzy pre-T1=2 spaces, espacios topológicos difusos, conjuntos Fpg-cerrados, conjuntos difusos pre-abiertos.Abstract
In this paper we consider new weak and strong forms of fuzzy preirresoluteness and fuzzy pre-closureness via the concept of fuzzy pg-closed sets which we call ap-Fp-irresolute functions, ap-Fp-closed functions and contra fuzzy pre-irresolute functions and we use it to obtain a characterization of fuzzy pre-T_1=2 spaces.References
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[2] Azad K. K., On fuzzy semicontinuity, fuzzy almost continuity and weakly continuity, J. Math. Anal. Appl., 82, pp. 14-32, (1981).
[3] Balsubramanian G., On fuzzy pre-separation axioms, Bull. Cal. Math. Soc., 90, pp. 427-434, (1998).
[4] Bin Shahna A. S., On fuzzy strong semicontinuity and fuzzy precontinuity, Fuzzy Sets and Systems, 44, pp. 303-308, (1991).
[5] Bin Shahna A. S., Mapping in fuzzy topological spaces,Fuzzy Sets and Systems, 61, pp. 209-213, (1994).
[6] Fukutake T., Saraf R. K.,Caldas and Mishra S., Mappings via Fgp-closed sets, Bull. Fukuoka Univ. Edu., 52 (III), pp. 11-20, (2003).
[7] Krstaeska B., Fuzzy strongly preopen sets and fuzzy strongly precontinuity, Math. Vesnik, 50, pp. 111-123, (1998).
[8] Park J. H. and Park B. H.,Fuzzy pre-irresolute mappings, Pusan Kyongnam Math. J., 10, pp. 303-313, (1995).
[9] Saraf R. K., On fuzzy contra -preclosed mappings(submitted).
[10] Singal M. K. and Prakash N., Fuzzy preopen sets and fuzzy pre-separation axioms, Fuzzy Sets and Systems, 44, pp. 273-281, (1991)
[11] Singh S., Generalization of certain fuzzy topological concepts, Ph. D. Dissertation (1999),R. D. University, Jabalpur (M. P.).
[12] Zhong B. S., Fuzzy strongly preopen sets and fuzzy strongly precontinuity, Fuzzy Sets and Systems, 52, pp. 345-351, (1992).
Published
2017-05-08
How to Cite
[1]
M. Caldas Cueva, G. B. Navalagi, and R. K. Saraf, “On some functions concerning fuzzy PG-closed sets”, Proyecciones (Antofagasta, On line), vol. 25, no. 3, pp. 261-271, May 2017.
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