Research Article
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Mixed Fuzzy Soft Topological Spaces

Year 2018, Volume: 31 Issue: 4, 1166 - 1177, 01.12.2018

Ayten Gezıcı , Cemil Yıldız

Abstract

In this paper, we
introduce a new type of mixed fuzzy soft topological space over a fuzzy soft
set on initial universe set. We define countability on mixed fuzzy soft
topological spaces.

Keywords

Fuzzy soft set Fuzzy soft topology First countable space Second countable spac

References

  • Borah, M.J. and Hazarika B., Some results of mixed fuzzy soft topology and applications in Chemistry, Annals of Fuzzy Mathematics and Informatics(2016)
  • C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl.24(1968)182-190.
  • Dizman, T.H., Soft Ditopological-Fuzzy Soft Topological Spaces and The Applications in Medicine, Ph.D Thesis, The Graduate School of Natural and Applied Science of Selcuk University, (2014).
  • Hussain S., On some generalized structures in fuzzy soft topological spaces, Information Sciences Letters, (2015).No.3 pp.107-115.
  • Maji, P.K.,Biswas, R. and A.R. Fuzzy soft sets,J. Fuzzy Math. (2001), 589-602.
  • Maji, P.K, Biswas, R and Roy A.R. Soft set theory, Computers Math. Appl.(2003).555-562.
  • Molodtsov, D. Soft set theory - First result, Computers Math. Appl.(1999) pp.19-31.
  • Neog T.J., Sut D.K., Hazarika G.C., Fuzzy soft topological spaces, Lates Trend Math., Vol.2, No.1. pp.54-67.
  • Pao-Ming, P., and Ying-Ming, L., Fuzzy Topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence, J.Math.Anal.Appl., 76: 571599 (1980).
  • Roy S., Samanta T.K., A note on fuzzy soft topological spaces,Annals of Fuzzy Mathematics and Informatics, Vol.3, No.2 (2012) 305-311.
  • Simsekler T., Yuksel S., Fuzzy soft topological spaces, Annals of Fuzzy Math. and Informatics.(2013)Vol.5, No.1, pp. 87-96.
  • Tanay B., Kandemir M.B., Topological structure of fuzzy soft sets, Computers and Mathematics with Appl. 61 (2011) 2952-2957.
  • Tripathy, B.C., Ray ,G.C., On mixed fuzzy topological spaces and countability. Soft Comput.(2012).pp.1691-1695.
  • Tripathy,B.C. Ray G.C.,Mixed fuzzy ideal topological spaces, Appl. Math. and Comput.(2013).pp.602-607.
  • Varol, B.P.,Aygun H.,Fuzzy soft topology.Hacettepe Journal of Mathematics and Statistics (2012), pp.404-419.
  • Varol, B.P., Fuzzy Soft Topological Spaces, Ph.D Thesis, The Graduate School of Natural and Applied Science of Kocaeli University, (2012).
  • Zadeh, L.A. Fuzzy sets, Information and Control,(1965).338-353.

Year 2018, Volume: 31 Issue: 4, 1166 - 1177, 01.12.2018

Ayten Gezıcı , Cemil Yıldız

Abstract

References

  • Borah, M.J. and Hazarika B., Some results of mixed fuzzy soft topology and applications in Chemistry, Annals of Fuzzy Mathematics and Informatics(2016)
  • C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl.24(1968)182-190.
  • Dizman, T.H., Soft Ditopological-Fuzzy Soft Topological Spaces and The Applications in Medicine, Ph.D Thesis, The Graduate School of Natural and Applied Science of Selcuk University, (2014).
  • Hussain S., On some generalized structures in fuzzy soft topological spaces, Information Sciences Letters, (2015).No.3 pp.107-115.
  • Maji, P.K.,Biswas, R. and A.R. Fuzzy soft sets,J. Fuzzy Math. (2001), 589-602.
  • Maji, P.K, Biswas, R and Roy A.R. Soft set theory, Computers Math. Appl.(2003).555-562.
  • Molodtsov, D. Soft set theory - First result, Computers Math. Appl.(1999) pp.19-31.
  • Neog T.J., Sut D.K., Hazarika G.C., Fuzzy soft topological spaces, Lates Trend Math., Vol.2, No.1. pp.54-67.
  • Pao-Ming, P., and Ying-Ming, L., Fuzzy Topology. I. Neighborhood structure of a fuzzy point and Moore-Smith convergence, J.Math.Anal.Appl., 76: 571599 (1980).
  • Roy S., Samanta T.K., A note on fuzzy soft topological spaces,Annals of Fuzzy Mathematics and Informatics, Vol.3, No.2 (2012) 305-311.
  • Simsekler T., Yuksel S., Fuzzy soft topological spaces, Annals of Fuzzy Math. and Informatics.(2013)Vol.5, No.1, pp. 87-96.
  • Tanay B., Kandemir M.B., Topological structure of fuzzy soft sets, Computers and Mathematics with Appl. 61 (2011) 2952-2957.
  • Tripathy, B.C., Ray ,G.C., On mixed fuzzy topological spaces and countability. Soft Comput.(2012).pp.1691-1695.
  • Tripathy,B.C. Ray G.C.,Mixed fuzzy ideal topological spaces, Appl. Math. and Comput.(2013).pp.602-607.
  • Varol, B.P.,Aygun H.,Fuzzy soft topology.Hacettepe Journal of Mathematics and Statistics (2012), pp.404-419.
  • Varol, B.P., Fuzzy Soft Topological Spaces, Ph.D Thesis, The Graduate School of Natural and Applied Science of Kocaeli University, (2012).
  • Zadeh, L.A. Fuzzy sets, Information and Control,(1965).338-353.
There are 17 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Mathematics
Authors

Ayten Gezıcı

Cemil Yıldız

Publication Date December 1, 2018
Published in Issue Year 2018 Volume: 31 Issue: 4

Cite

APA Gezıcı, A., & Yıldız, C. (2018). Mixed Fuzzy Soft Topological Spaces. Gazi University Journal of Science, 31(4), 1166-1177.
AMA Gezıcı A, Yıldız C. Mixed Fuzzy Soft Topological Spaces. Gazi University Journal of Science. December 2018;31(4):1166-1177.
Chicago Gezıcı, Ayten, and Cemil Yıldız. “Mixed Fuzzy Soft Topological Spaces”. Gazi University Journal of Science 31, no. 4 (December 2018): 1166-77.
EndNote Gezıcı A, Yıldız C (December 1, 2018) Mixed Fuzzy Soft Topological Spaces. Gazi University Journal of Science 31 4 1166–1177.
IEEE A. Gezıcı and C. Yıldız, “Mixed Fuzzy Soft Topological Spaces”, Gazi University Journal of Science, vol. 31, no. 4, pp. 1166–1177, 2018.
ISNAD Gezıcı, Ayten - Yıldız, Cemil. “Mixed Fuzzy Soft Topological Spaces”. Gazi University Journal of Science 31/4 (December 2018), 1166-1177.
JAMA Gezıcı A, Yıldız C. Mixed Fuzzy Soft Topological Spaces. Gazi University Journal of Science. 2018;31:1166–1177.
MLA Gezıcı, Ayten and Cemil Yıldız. “Mixed Fuzzy Soft Topological Spaces”. Gazi University Journal of Science, vol. 31, no. 4, 2018, pp. 1166-77.
Vancouver Gezıcı A, Yıldız C. Mixed Fuzzy Soft Topological Spaces. Gazi University Journal of Science. 2018;31(4):1166-77.