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Reseach Article

On h-Induced Fuzzy Supra Topological Spaces and Fuzzy Supra h-S-closed Spaces

by Baby Bhattacharya, Sunny Biswas
International Journal of Computer Applications
Foundation of Computer Science (FCS), NY, USA
Volume 70 - Number 2
Year of Publication: 2013
Authors: Baby Bhattacharya, Sunny Biswas
10.5120/11936-7723

Baby Bhattacharya, Sunny Biswas . On h-Induced Fuzzy Supra Topological Spaces and Fuzzy Supra h-S-closed Spaces. International Journal of Computer Applications. 70, 2 ( May 2013), 25-29. DOI=10.5120/11936-7723

@article{ 10.5120/11936-7723,
author = { Baby Bhattacharya, Sunny Biswas },
title = { On h-Induced Fuzzy Supra Topological Spaces and Fuzzy Supra h-S-closed Spaces },
journal = { International Journal of Computer Applications },
issue_date = { May 2013 },
volume = { 70 },
number = { 2 },
month = { May },
year = { 2013 },
issn = { 0975-8887 },
pages = { 25-29 },
numpages = {9},
url = { https://ijcaonline.org/archives/volume70/number2/11936-7723/ },
doi = { 10.5120/11936-7723 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2024-02-06T21:31:49.396046+05:30
%A Baby Bhattacharya
%A Sunny Biswas
%T On h-Induced Fuzzy Supra Topological Spaces and Fuzzy Supra h-S-closed Spaces
%J International Journal of Computer Applications
%@ 0975-8887
%V 70
%N 2
%P 25-29
%D 2013
%I Foundation of Computer Science (FCS), NY, USA
Abstract

The aim of this paper is to study some properties of ?-induced fuzzy supra topological spaces by utilizing ?-lower semi-continuous functions. Next the connection between properties of a topological space (X,T) and ?-induced fuzzy supra topological space (X,S?(?)) are studied. Finally the concept of fuzzy supra ?-S-closed space with the notion of fuzzy supra ?-semi open set are introduced.

References
  1. Abd El. Monsef, M. E. , and Ramadan, A. E. , On fuzzy supra topological spaces, Indian J. pure appl. Math. 18 (1987) 322-329.
  2. Andrrijevic, D. , On b-open sets, Mat. Vesnik. 48(1996) 59-64.
  3. Azad, K. K. , On fuzzy semicontinuty, fuzzy almost continuity and fuzzy weakly continuity, J. Math. Anal. Appl. 82 (1981), 14-32.
  4. Azad, K. K. , Fuzzy Hausdroff Spaces and Fuzzy Perfect Mapping, J. Math. Anal. Appl. 82 (1981), 297-305.
  5. Bhattacharya, Baby, and Mukherjee, Anjan, "On Fuzzy supra S-Closed Spaces", Proc. Nat. Sem on Fuzzy Math & its application, Nov. 25-26 ;2006; 115-122
  6. Bhattacharya, Baby, and Biswas, Sunny, "On ?-Induced L-Fuzzy Supra Topological Spaces", 2nd International Conference on Rough Sets, Fuzzy Sets and Soft Computing, Tripura University,Dept. of Mathematics, January 17th-19th 2013.
  7. Bhaumik R. N. , and Mukherjee, A. , Induced fuzzy supra topological spaces, Fuzzy Sets and Systems 91 (1997) 123-126.
  8. Bhaumik, R. N. , and Mukherjee, A. , Completely lower semi-continuous function, Math. Education 26(1992) 66-69.
  9. Chang, C. L. , Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190.
  10. El-Atik AA. , A study on some types of mappings on topological spaces. M. Sci. thesis, Tanta Univ. , Egypt, 1997.
  11. Mashhour, A. S. , Ghanim, M. H. , AEL-Wakeil and N. M. Morsi, Semi-induced fuzzy topology, Fuzzy sets and Systems 31(1989) 1-18.
  12. Mukherjee, M. N. , and Ghosh, B. , On fuzzy S-closed spaces and FSC seli. Bull. Malaysian. Math. Soc(2nd series) 12(1989) 1-40.
  13. Hanafy, I. M. , Fuzzy g-open sets and fuzzy g-continuity, J. Fuzzy Math. 7 (1999), 419-430.
  14. Mukherjee, A. , and Halder, S. , d-induced fuzzy topological spaces, Proc. Nat. Sem. On recent trends in Maths and its application. April 28-29,2003,177-182.
  15. Hussain, S. , and Ahmad, B. , On ?-s-closed spaces, Scientia Magna, Vol. 3(2007), No. 4, 87-93.
  16. Levin, N. , Semi-open sets and semi continuity in topological spaces, Amer. Math. Monthly 70(1963) 36-41.
  17. Maheshwari, S. N. , and Thakur, S. S. , On ?-irresolute mappings, Tankang J. Math. 11(1980) 209-214.
  18. Mirmiran, Majid, Weak Insertion of a g-continuous Function, Applied Mathematics, 2011; 1(1)1-3.
  19. Mukherjee, A. , Some more results on induced fuzzy topological spaces, Fuzzy sets and systems 96(1998)255-258.
  20. Noiri, T. , On ?-continuous function, Cosopis Fest. Mat. 109(1984) 118-126.
  21. Wang. Ge-Ping and Fang Hu-Lang, On Induced fuzzy topological spaces, J. Math. Anal. Appl. 108(1985) 495-506.
  22. Prasad, R. , Thakur, S. S. , and Saraf, R. K. , Fuzzy ?-irresolute mappings, J. Fuzzy Math. 2(1984) 335-339.
  23. Singal, M. K. , and Rajvanshi, N. , Fuzzy ?-sets and ?-continuous maps, Fuzzy Sets and Systems 48(1992) 383-390.
  24. Thompson, T. , S-closed spaces, Proc. Amer. Math. Soc. 60(1975) 115-118.
  25. Weiss, M. D. , Fixed points, separations and induced topologies for fuzzy sets, J. Math. Anal. Appl. 50(1975) 140-150.
Index Terms

Computer Science
Information Sciences

Keywords

Topology Induced fuzzy topology ?-induced fuzzy supra topological space fuzzy supra ?-semi open set fuzzy supra ?-S-closed space