[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5391/IJFIS.2006.6.3.255

R-fuzzy F-closed Spaces

Zahran A. M. (Department of mathematics, Faculty of science, Al Azhar university)
Abd-Allah M. Azab (Department of mathematics, Faculty of science, Assuit university)
El-Rahman A. G. Abd (Department of mathematics, Faculty of science, South valley university)

Publication Information

International Journal of Fuzzy Logic and Intelligent Systems / v.6, no.3, 2006 , pp. 255-263 More about this Journal

Abstract

In this paper, we introduce the concepts of ${\gamma}$ -fuzzy feebly open and ${\gamma}$ -fuzzy feebly closed sets in Sostak's fuzzy topological spaces and by using them, we explain the notions of ${\gamma}$ -fuzzy F-closed spaces. Also, we give some characterization of ${\gamma}$ -fuzzy F-closedness in terms of fuzzy filterbasis and ${\gamma}$ -fuzzy feebly- ${\theta}$ -cluster points.

Keywords

Fuzzy feebly open and fuzzy feebly closed sets; Sostak's fuzzy topology;

Citations & Related Records

Reference

1	S. E. Abbas; Fuzzy super irresulate function, Int. J. Math. Math. Sci., 42(2003), 2689-2700
2	Y. C. Kim, A. A. Ramadan, S. E. Abbas; Weaker forms of continuity in Sostak's fuzzy topology, Indian J. Pure Apll. Math., 34 (2003), 311-33
3	K. C. Chattopadhyay, S. K. Samanta; Fuzzy topology: fuzzy closure operator, fuzzy compactness, fuzzy connectdeness, Fuzzy sets and systems, 54 (1993), 207-212 DOI ScienceOn
4	S. N. Maheshwari and U. D. Tapi; Note on some applications of feebly open sets, M. B. Jr. Univ. of Saugar
5	T. Noiri; Almost $\alpha$ -continuous functions, Kyangpook Math. J., 28 (1988), 17-77
6	U. Hohle, A. P. Sostak; A general theory of fuzzy topological spaces, Fuzzy sets and systems, 73 (1995), 131-149 DOI ScienceOn
7	S. N. Maheshwari and U. D. Tapi; Note on some applications of feebly open sets, M. B. Jr. Univ. of Saugar
8	Lowen R.; Fuzzy topological spaces and fuzzy compacteness, J. Math. Anal. Appl., 56 (1976), 621-33
9	Y. C. Kim, A. A. Ramadan, S. E. Abbas: r-Fuzzy Strongly Preopen sets in fuzzy topological spaces, Math. Vesn., 55 (2003), 1-13
10	C. L. Chang; Fuzzy topological spaces, J. Math. Anal. Appl., 24 (1968), 39-90 DOI
11	A. A. Ramadan; Smooth topological spaces, Fuzzy sets and systems 48,1 (1992), 371-375
12	B. S. IN; On fuzzy FC-Compactness, Comm. Korean Math. Soc, 13 (1998), 137-150
13	Y. C. Kim, J. W. Park; R-fuzzy $\delta$ -closure and R-fuzzy $\theta$ -closure sets, fuzzy intelligent systems, 10 (2000), 557-563
14	U. Hohle, A. P. Sostak; Axiomatic faumdation of fixed-basis fuzzy topology, in: U.Hohle, S.E. Radabaugh(Eds.), The handbooks of Fuzzy sets series, Vol.3, Kluwer academic publishers, Dorcrech, 1990
15	A. P. Sostak; On a fuzzy topological structre, Suppl. Rend. Circ. Matem. Palermo, Ser.II 11(1985)
16	M. Dimirci; Neighborhood strucure of smooth topological spaces, Fuzzy sets and systems, 92 (1997), 123-128 DOI ScienceOn