Title of paper:

A note on intuitionistic supra fuzzy soft topological spaces

Author(s):

Vildan Çetkin

Department of Mathematics, Kocaeli University, Umuttepe Campus,, 41380, Kocaeli, Turkey

vcetkin@gmail.com

Halis Aygün

Department of Mathematics, Kocaeli University, Umuttepe Campus,, 41380, Kocaeli, Turkey

halis@kocaeli.edu.tr


Published in:

"Notes on IFS", Volume 21, 2015, Number 4, pages 48–57

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Abstract:

The goal of this study is to introduce an intuitionistic supra fuzzy soft topological space and an intuitionistic fuzzy soft bitopological space. Moreover, we give the definition of
an intuitionistic supra fuzzy soft closure space and investigate relations between intuitionistic supra fuzzy soft topological space and intuitionistic supra fuzzy soft closure space. We also
obtain intuitionistic supra fuzzy soft topological space induced by an intuitionistic fuzzy soft bitopological space.

Keywords:

Fuzzy soft set, Bitopology, Intuitionistic supra fuzzy topology.

AMS Classification:

03E72.

References:

 AbdElmonsef, M. E. & A. Ramadan (1987) On fuzzy supra topological spaces, Indian J. Pure Appl. Math., 18, 322–329.
 Aktaş, H. & N. Çağman (2007) Soft sets and soft groups, Information Sciences, 177(13), 2726–2735.
 Abbas, S. E. (2004) Intuitionistic supra fuzzy topological spaces, Chaos, Solitons and Fractals, 21, 1205–1214.
 Ahmad, B. & A. Kharal (2009) On fuzzy soft sets, Advances in Fuzzy Systems, Volume 2009, Article ID 586507.
 Atanassov, K. (1986) Intuitionistic fuzzy sets,Fuzzy Sets and Systems, 20(1), 87–96.
 Aygün, H., V. Çetkin, & S. E. Abbas (2012) On (L, M)fuzzy closure spaces, Iranian J. of Fuzzy Systems, 9(5), 41–62.
 Aygünoğlu, A. & H. Aygün (2009) Introduction to fuzzy soft groups, Computers and Mathematics with Applications, 58, 1279–1286.
 Aygünoğlu, A., V. Çetkin, & H. Aygün (2014) An introduction to fuzzy soft topological spaces, Hacettepe Journal of Mathematics and Statistics, 43(2), 197–208.
 Chang, C. L. (1968) Fuzzy topological spaces, J. Math. Anal. Appl., 24, 182–190.
 Çetkin, V. & H. Aygün (2010) On (L,M)fuzzy interior spaces, Advances in Theoretical and Applied Mathematics, 5, 177–195.
 Çetkin, V. & H. Aygün (2010) Lattice valued double fuzzy preproximity spaces, Computers and Mathematics with Applications, 60, 849–864.
 Çoker, D. (1997) An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88, 81–89.
 Çoker, D. & M. Demirci (1996) An introduction to intuitionistic fuzzy topological spaces in Šostak sense, Busefal, 67, 67–76.
 Ghanim, M. H., O. A. Tantawy & F. M. Selim (2000) Gradation of supra openness, Fuzzy Sets and Systems, 109, 245250.
 Kubiak, T. (1985) On Fuzzy Topologies, Ph.D Thesis, A. Mickiewicz University, Poznan.
 Maji, P. K., R. Biswas, & A. R. Roy (2001) Fuzzy soft sets, Journal of fuzzy Mathematics, 9(3), 589–602.
 Molodtsov, D. (1999) Soft set theoryFirst results, Computers Mathematics with Appl., 37(4/5), 19–31.
 Roy, A. R. & P. K. Maji (2007) A fuzzy soft set theoretic approach to decision making problems, Journal of Computational and Applied Mathematics, 203, 412–418.
 Samanta, S. K. & T. K. Mondal (2002) On intuitionistic gradation of openness, Fuzzy Sets and Systems, 131, 323–336.
 Šostak, A. P. (1985) On a fuzzy topological structure, Suppl. Rend. Circ. Matem. Palermo ser. II, 11, 89–102.

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