Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 14 Sayı: 1, - , 01.05.2017

Öz

Kaynakça

  • [1] L. A. Zadeh, Fuzzy Sets, Inform. Control, 8, (1965), 338–353.
  • [2] E. L. Chang, Fuzzy Topologyical Spaces, J. Math. Anal. Appl., 24, (1968), 182-190.
  • [3] R. Lowen, Fuzzy Topological Spaces and Fuzzy Compactness, J. Math, Anal. Appl., 56, (1979), 621-633.
  • [4] B. Hutton, Products of Fuzzy Topological Space, Top. Appl., 11, (1980), 59-67.
  • [5] A. P. Shostak, On a Fuzzy Topological Structure, Rendiconti del Ciecolo Matematico di Palermo Ser II, 11, (1985),89-103.
  • [6] I. Ibedou, Graded Fuzzy Topological Spaces, Cogent Math., 3, (2016), 1138574.
  • [7] K. C. Chattopadhyay, R. N. Hazra, S. K. Samanta, Gradation of Openness: Fuzzy Topology, Fuzzy Sets andSystems, 49(2), (1992), 234–242.
  • [8] K. C. Chattopadhyay, S. K. Samanta, Fuzzy Topology, Fuzzy Closure, Fuzzy Compactness and Fuzzy Connectedness,Fuzzy Sets and Systems, 54(2), (1993), 207–212.
  • [9] V. Gregori, A. Vidal, Fuzziness in Chang’s Fuzzy Topological Spaces, Rend. Istit. Mat. Univ. Trieste, XXX,(1999), 111-121.
  • [10] M. K. EL-Gayyar, E. E. Kerre, A.A. Ramadan, On Smooth Topological Spaces II: Separation Axioms, Fuzzy Setsand Systems, 119(3), (2001), 495–504.
  • [11] S. S. Benchalli, G. P. Siddapur, On the Level Spaces of Fuzzy Topological Spaces, Bulletin of Math. Anal. Appl.1(2), (2009), 57-65.
  • [12] J. Taleshi, New Fuzzy Topology, MSc thesis, Vali Asr University of Rafsanjan, Iran, (2007).

An Approach to Some Properties of Fuzzy Topological Spaces

Yıl 2017, Cilt: 14 Sayı: 1, - , 01.05.2017

Öz

In this manuscript, we use a specific definition of a fuzzy topological space. We define some basis
structures of this topology and survey properties of them such as the concepts of F-closure, F-interior and
F-limited points of a fuzzy subset of a topological space. Moreover, we redefine the concepts of the basis
and subbasis of this topology and discuss about continuous related functions and prove some theorems about
them.

Kaynakça

  • [1] L. A. Zadeh, Fuzzy Sets, Inform. Control, 8, (1965), 338–353.
  • [2] E. L. Chang, Fuzzy Topologyical Spaces, J. Math. Anal. Appl., 24, (1968), 182-190.
  • [3] R. Lowen, Fuzzy Topological Spaces and Fuzzy Compactness, J. Math, Anal. Appl., 56, (1979), 621-633.
  • [4] B. Hutton, Products of Fuzzy Topological Space, Top. Appl., 11, (1980), 59-67.
  • [5] A. P. Shostak, On a Fuzzy Topological Structure, Rendiconti del Ciecolo Matematico di Palermo Ser II, 11, (1985),89-103.
  • [6] I. Ibedou, Graded Fuzzy Topological Spaces, Cogent Math., 3, (2016), 1138574.
  • [7] K. C. Chattopadhyay, R. N. Hazra, S. K. Samanta, Gradation of Openness: Fuzzy Topology, Fuzzy Sets andSystems, 49(2), (1992), 234–242.
  • [8] K. C. Chattopadhyay, S. K. Samanta, Fuzzy Topology, Fuzzy Closure, Fuzzy Compactness and Fuzzy Connectedness,Fuzzy Sets and Systems, 54(2), (1993), 207–212.
  • [9] V. Gregori, A. Vidal, Fuzziness in Chang’s Fuzzy Topological Spaces, Rend. Istit. Mat. Univ. Trieste, XXX,(1999), 111-121.
  • [10] M. K. EL-Gayyar, E. E. Kerre, A.A. Ramadan, On Smooth Topological Spaces II: Separation Axioms, Fuzzy Setsand Systems, 119(3), (2001), 495–504.
  • [11] S. S. Benchalli, G. P. Siddapur, On the Level Spaces of Fuzzy Topological Spaces, Bulletin of Math. Anal. Appl.1(2), (2009), 57-65.
  • [12] J. Taleshi, New Fuzzy Topology, MSc thesis, Vali Asr University of Rafsanjan, Iran, (2007).
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Makaleler
Yazarlar

Marzieh Mostafavi Bu kişi benim

Yayımlanma Tarihi 1 Mayıs 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 14 Sayı: 1

Kaynak Göster

APA Mostafavi, M. (2017). An Approach to Some Properties of Fuzzy Topological Spaces. Cankaya University Journal of Science and Engineering, 14(1).
AMA Mostafavi M. An Approach to Some Properties of Fuzzy Topological Spaces. CUJSE. Mayıs 2017;14(1).
Chicago Mostafavi, Marzieh. “An Approach to Some Properties of Fuzzy Topological Spaces”. Cankaya University Journal of Science and Engineering 14, sy. 1 (Mayıs 2017).
EndNote Mostafavi M (01 Mayıs 2017) An Approach to Some Properties of Fuzzy Topological Spaces. Cankaya University Journal of Science and Engineering 14 1
IEEE M. Mostafavi, “An Approach to Some Properties of Fuzzy Topological Spaces”, CUJSE, c. 14, sy. 1, 2017.
ISNAD Mostafavi, Marzieh. “An Approach to Some Properties of Fuzzy Topological Spaces”. Cankaya University Journal of Science and Engineering 14/1 (Mayıs 2017).
JAMA Mostafavi M. An Approach to Some Properties of Fuzzy Topological Spaces. CUJSE. 2017;14.
MLA Mostafavi, Marzieh. “An Approach to Some Properties of Fuzzy Topological Spaces”. Cankaya University Journal of Science and Engineering, c. 14, sy. 1, 2017.
Vancouver Mostafavi M. An Approach to Some Properties of Fuzzy Topological Spaces. CUJSE. 2017;14(1).