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Mixed Fuzzy Soft Topological Spaces

Yıl 2018, Cilt: 31 Sayı: 4, 1166 - 1177, 01.12.2018

Ayten Gezıcı , Cemil Yıldız

Öz

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.

Anahtar Kelimeler

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

Kaynakça

  • 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.

Yıl 2018, Cilt: 31 Sayı: 4, 1166 - 1177, 01.12.2018

Ayten Gezıcı , Cemil Yıldız

Öz

Kaynakça

  • 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.
Toplam 17 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Mühendislik
Bölüm Mathematics
Yazarlar

Ayten Gezıcı

Cemil Yıldız

Yayımlanma Tarihi 1 Aralık 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 31 Sayı: 4

Kaynak Göster

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. Aralık 2018;31(4):1166-1177.
Chicago Gezıcı, Ayten, ve Cemil Yıldız. “Mixed Fuzzy Soft Topological Spaces”. Gazi University Journal of Science 31, sy. 4 (Aralık 2018): 1166-77.
EndNote Gezıcı A, Yıldız C (01 Aralık 2018) Mixed Fuzzy Soft Topological Spaces. Gazi University Journal of Science 31 4 1166–1177.
IEEE A. Gezıcı ve C. Yıldız, “Mixed Fuzzy Soft Topological Spaces”, Gazi University Journal of Science, c. 31, sy. 4, ss. 1166–1177, 2018.
ISNAD Gezıcı, Ayten - Yıldız, Cemil. “Mixed Fuzzy Soft Topological Spaces”. Gazi University Journal of Science 31/4 (Aralık 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 ve Cemil Yıldız. “Mixed Fuzzy Soft Topological Spaces”. Gazi University Journal of Science, c. 31, sy. 4, 2018, ss. 1166-77.
Vancouver Gezıcı A, Yıldız C. Mixed Fuzzy Soft Topological Spaces. Gazi University Journal of Science. 2018;31(4):1166-77.