Browse > Article
http://dx.doi.org/10.4134/CKMS.2006.21.3.497

ON FUZZY BITOPOLOGICAL SPACES IN ŠOSTAK'S SENSE  

Ramadan, A.A. (Department of Mathematics Faculty of Science Kingsaud University)
Abbas, S.E. (Department of Mathematics Faculty of Science South Valley University)
El-Latif, A.A. Abd (Department of Mathematics Faculty of Science Cairo University)
Publication Information
Communications of the Korean Mathematical Society / v.21, no.3, 2006 , pp. 497-514 More about this Journal
Abstract
In this paper, we used the supra fuzzy topology which generated from a fuzzy bitopological space [1] to introduce and study the concepts of continuity (resp. openness, closeness) of mapping, separation axioms and compactness for a fuzzy bitopological spaces. Our definition preserve much of the correspondence between concepts of fuzzy bitopological spaces and the associated fuzzy topological spaces.
Keywords
fuzzy bitopological space; supra fuzzy topology; $FP^*-continuous$ mapping; $FP^*-separation$ axioms; $FP^*-compact$;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 M. K. El Gayyar, E. E. Kerre and A. A. Ramadan., Almost compactness and near compactness in smooth topological spaces, Fuzzy Sets and Systems 92 (1994), 193-202
2 M. H. Ghanim, O. A. Tantawy and F. M. Selim, Gradation of supra openness: fuzzy topology, Fuzzy Sets and Systems 109 (2000), 245-250   DOI   ScienceOn
3 Y. C. Kim, r-fuzzy semi-open sets in fuzzy bitopological spaces, Far East. J. Math. Sci. Special(FJMS) II (2000), 221-236
4 T. Kubiak and A. P. Sostak, Lower set-valued fuzzy topologies, Quaestiones Mathematicae 20 (1997), 423-429   DOI
5 A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375   DOI   ScienceOn
6 S. E. Abbas, A study of smooth topological spaces, Ph. D. Thesis, South Valley University, Egypt (2002)
7 H. Aygun, M. W. Warner and S. R. T. Kudri, On smooth L-fuzzy topological spaces, J. Fuzzy Math. 5(2) (1997), 321-338
8 H. Aygun and S. E. Abbas, On characterization of some covering properties in L-fuzzy topological spaces in Sostak sense., Information Sciences 165 (2004), 221-233   DOI   ScienceOn
9 K. C. Chattopadhyay, R. N. Hazra, S. K. Samanta, Gradation of openness: fuzzy topology, Fuzzy Sets and Systems 94 (1992), 237-242
10 K. C. Chattopadhyay and S. K. Samanta, Fuzzy topology: fuzzy closure operator, fuzzy compactness and fuzzy connectedness, Fuzzy Sets and Systems 54 (1993), 207-212   DOI   ScienceOn
11 U. Hohle and A. P. Sostak., A general theory of fuzzy topological spaces, Fuzzy Sets and Systems 73 (1995), 131-149   DOI   ScienceOn
12 A. P. Sostak, On a fuzzy topological structure, Supp. Rend. Circ. Math. Palermo (Ser.II) 11 (1985), 89-103
13 A. P. Sostak, Basic structure of fuzzy topology, J. of Math. Sciences 78 (1996), no. 6, 662-701   DOI
14 E. P. Lee, Preopen sets in smooth bitopological spaces, Commun. Korean Math. Soc. 18 (2003), no. 3, 521-532   과학기술학회마을   DOI   ScienceOn
15 C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Apll. 24 (1968), 182-190   DOI
16 A. P. Sostak, On the neighbourhood structure of a fuzzy topological space, Zb. Rodova Univ. Nis, ser Math. 4 (1990), 7-14
17 P. M. Pu and Y. M. Liu, Fuzzy topology I. Neighborhood structure of a fuzzy point and Moor-Smith convergence, J. Math. Anal. Appl, 76 (1980), 571-599   DOI
18 M. E. Abd El-Monsef and A. A. Ramadan, On fuzzy supra topological spaces, Indian J. Pure Appl. Math. 18 (1987), 322-329