Research Article
On Interval Valued -Supra- Openness
|
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
|
| Volume 69 - Issue 28 |
| Published: May 2013 |
| Authors: F. M. Sleim |
10.5120/12244-8514
|
F. M. Sleim . On Interval Valued -Supra- Openness. International Journal of Computer Applications. 69, 28 (May 2013), 1-3. DOI=10.5120/12244-8514
@article{ 10.5120/12244-8514,
author = { F. M. Sleim },
title = { On Interval Valued -Supra- Openness },
journal = { International Journal of Computer Applications },
year = { 2013 },
volume = { 69 },
number = { 28 },
pages = { 1-3 },
doi = { 10.5120/12244-8514 },
publisher = { Foundation of Computer Science (FCS), NY, USA }
}
%0 Journal Article
%D 2013
%A F. M. Sleim
%T On Interval Valued -Supra- Openness%T
%J International Journal of Computer Applications
%V 69
%N 28
%P 1-3
%R 10.5120/12244-8514
%I Foundation of Computer Science (FCS), NY, USA
Abstract
In [9]a new definition of a fuzzy set was given by K. Kandil et al by introducing the concept of an interval valued fuzzy set . In this paper a new definition of supra -fuzzy topological ( resp. suprafuzzy proximity ,supra - fuzzy uniform ) space is given by introducing the concept of an interval valued supra-fuzzy topological (resp. fuzzy proximity ,fuzzy uniformity ) space . The connection between interval valued supra-fuzzy topological ,interval valued supra-fuzzy proximity and interval valued supra-fuzzy uniformity space are investigated . Throughout this paper ,the class of all interval valued fuzzy sets on a non-empty set X will be denoted by X and the class of all fuzzy sets on non-empty set X will be denoted by IX
References
- G. Artico and R . Moresco ,Fuzzy proximities and totally bounded fuzzy uniformities , J . Math. Anal . App . 99 (1984) ,320-337 .
- K. T,Atanassov,intuitionistic fuzzy sets ,FSS 20(1986)NO. 1,87-96 .
- K. C. Chattopadhyay ,R. H. Hazra and S. K. Samanta,fuzzy topology ,FSS 45(1992),79-82.
- K . C . Chattopadhyay , R . H . Hazra and S . K. Samanta ,Gradation of openness:Fuzzy topology ,Fss,49(1992),236- 242 .
- C . L. Chang , Fuzzy topological spaces , J . Math. Anal . App . 24 (1968) ,182-190 .
- D. Deschrijver,E. Kerre ,on relationship between some extensions of fuzzy set theory ,FSS 133 (2003),227-235.
- M. H . Ghanim ,O. A. Tantawy and F. M. Sleim , Gradations of uniformity and Gradations of proximity ,Fss ,79 (1996),373-382
- B . Hutton ,Uniformities on fuzzy topological spaces , J. Math. Anal . App . 58 (1977) ,559-571 .
- A. Kandil ,O. Tantawy ,M. M. Yakout and S. Saleh ,separation axioms in interval valued fuzzy topological spaces ,Applied Mathematics and Information Sciences , 5 ( 2 ) ( 2011 ) , 1 - 19 .
- A. K. Katsaras ,On fuzzy proximity spaces ,J. Math. Anal . App . 75 (1980) ,571-583.
- A. S. Mashhour ,A. A. Allam ,F. S. Mahmoud and F. M. Khedr , On supra-topological spaces ,Indian J. pure Appl. Math. 14(1983),502-510 .
- T. K. Monal ,S. K. Samanta ,topology of interval valued fuzzy sets ,Indian J. Pure Math. (January 1999).
- Seok Jonglee and Eunpyolee ,intuitionistic fuzzy proximity space ,IJMMS 49 (2004),2617-2628.
- F. M. Sleim,AGradation interval valued fuzzy topological space , The Egyptian Mathematical Society Caira, 27-30 Dec. 2007, vol. (III)TOP. and GEOM. ,P251-255.
Index Terms
Keywords