BibTex RIS Kaynak Göster

On Intuitionistic Zero Gradations

Yıl 2015, Cilt: 36 Sayı: 3, 1752 - 1760, 13.05.2015

Mohammad Abry Jafar Zanjanı

Öz

Abstract. In this paper, we introduce the concept of an intuitionistic zero gradation in Lowen fuzzy topological spaces. We study some relations between the notion of zero-dimensionality of fuzzy bitopological spaces and intuition- istic zero gradations and then prove that the property of being intuitionistic zero gradation is invariant under a strongly gradation preserving map.

Anahtar Kelimeler

Fuzzy topology Gradation of openness Intuitionistic gradation of openness Intuitionistic zero gradation Zero-dimension

Kaynakça

  • A.S. Abu Sa.ya, A.A. Fora and M.W. Warner, Higher separation axioms in bifuzzy topological spaces, Fuzzy sets and systems 79 (1996) 367–372.
  • D. Adnadjevic, Dimension of fuzzy spaces, Fuzzy sets and systems. 26 (1988) 85– 92.
  • K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and systems. 20 (1986), no. 1, 87–96.
  • C.L. Chang, Fuzzy topological spaces, J.Math.Anal.Appl. 24(1968) 182–190.
  • K.C. Chattopadhyay, R.N. Hazra and S.K. Samanta, Gradation of openness; Fuzzy topology, Fuzzy sets and systems. 49(1992) 237–242
  • D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems. 88 (1997) 81–89.
  • E. Cuchillo-Ibanez, J. Tarres, On the boundary of fuzzy sets, Fuzzy sets and systems. 89 (1997) 113–119.
  • S. K. De, R. Biswas, and A. R. Roy, An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems, 117 (2001), no. 2, 209–213.
  • R. Engelking, Dimension Theory, North-Holland, Amsterdam, (1978).
  • B. Hutton, Products of fuzzy topological spaces, Top. Appl. 11 (1980) 59–67.
  • Kandil, A.A. Nouh and S.A. El-Sheikh, On fuzzy bitopological spaces, Fuzzy sets and systems. 74 (1995) 353–363.
  • R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math.Anal.Appl. 56 (1976) 621–633.
  • T. K. Mondal and S. K. Samanta, On intuitionistic gradation of openness, Fuzzy sets and systems. 131 (2002) 323–336.
  • L. G. Oversteegen and E. D. Tymchatyn, On the dimension of certain totally disconnected spaces, Proc. Amer. Math. Soc. 122 (1994) 885–891.
  • R. Srivastava, S. N. Lal, and A. K. Srivastava, Fuzzy Hausdorff topological spaces, J.Math.Anal.Appl. 81 (1981) 497–506.
  • L.A. Zadeh, Fuzzy sets, Information and control. 8 (1965) 338–353.

Yıl 2015, Cilt: 36 Sayı: 3, 1752 - 1760, 13.05.2015

Mohammad Abry Jafar Zanjanı

Öz

Kaynakça

  • A.S. Abu Sa.ya, A.A. Fora and M.W. Warner, Higher separation axioms in bifuzzy topological spaces, Fuzzy sets and systems 79 (1996) 367–372.
  • D. Adnadjevic, Dimension of fuzzy spaces, Fuzzy sets and systems. 26 (1988) 85– 92.
  • K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy sets and systems. 20 (1986), no. 1, 87–96.
  • C.L. Chang, Fuzzy topological spaces, J.Math.Anal.Appl. 24(1968) 182–190.
  • K.C. Chattopadhyay, R.N. Hazra and S.K. Samanta, Gradation of openness; Fuzzy topology, Fuzzy sets and systems. 49(1992) 237–242
  • D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy sets and systems. 88 (1997) 81–89.
  • E. Cuchillo-Ibanez, J. Tarres, On the boundary of fuzzy sets, Fuzzy sets and systems. 89 (1997) 113–119.
  • S. K. De, R. Biswas, and A. R. Roy, An application of intuitionistic fuzzy sets in medical diagnosis, Fuzzy Sets and Systems, 117 (2001), no. 2, 209–213.
  • R. Engelking, Dimension Theory, North-Holland, Amsterdam, (1978).
  • B. Hutton, Products of fuzzy topological spaces, Top. Appl. 11 (1980) 59–67.
  • Kandil, A.A. Nouh and S.A. El-Sheikh, On fuzzy bitopological spaces, Fuzzy sets and systems. 74 (1995) 353–363.
  • R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math.Anal.Appl. 56 (1976) 621–633.
  • T. K. Mondal and S. K. Samanta, On intuitionistic gradation of openness, Fuzzy sets and systems. 131 (2002) 323–336.
  • L. G. Oversteegen and E. D. Tymchatyn, On the dimension of certain totally disconnected spaces, Proc. Amer. Math. Soc. 122 (1994) 885–891.
  • R. Srivastava, S. N. Lal, and A. K. Srivastava, Fuzzy Hausdorff topological spaces, J.Math.Anal.Appl. 81 (1981) 497–506.
  • L.A. Zadeh, Fuzzy sets, Information and control. 8 (1965) 338–353.
Toplam 16 adet kaynakça vardır.

Ayrıntılar

Bölüm Derleme
Yazarlar

Mohammad Abry

Jafar Zanjanı Bu kişi benim

Yayımlanma Tarihi 13 Mayıs 2015
Yayımlandığı Sayı Yıl 2015 Cilt: 36 Sayı: 3

Kaynak Göster

APA Abry, M., & Zanjanı, J. (2015). On Intuitionistic Zero Gradations. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, 36(3), 1752-1760.
AMA Abry M, Zanjanı J. On Intuitionistic Zero Gradations. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. Mayıs 2015;36(3):1752-1760.
Chicago Abry, Mohammad, ve Jafar Zanjanı. “On Intuitionistic Zero Gradations”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36, sy. 3 (Mayıs 2015): 1752-60.
EndNote Abry M, Zanjanı J (01 Mayıs 2015) On Intuitionistic Zero Gradations. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36 3 1752–1760.
IEEE M. Abry ve J. Zanjanı, “On Intuitionistic Zero Gradations”, Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, c. 36, sy. 3, ss. 1752–1760, 2015.
ISNAD Abry, Mohammad - Zanjanı, Jafar. “On Intuitionistic Zero Gradations”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi 36/3 (Mayıs 2015), 1752-1760.
JAMA Abry M, Zanjanı J. On Intuitionistic Zero Gradations. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2015;36:1752–1760.
MLA Abry, Mohammad ve Jafar Zanjanı. “On Intuitionistic Zero Gradations”. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi, c. 36, sy. 3, 2015, ss. 1752-60.
Vancouver Abry M, Zanjanı J. On Intuitionistic Zero Gradations. Cumhuriyet Üniversitesi Fen Edebiyat Fakültesi Fen Bilimleri Dergisi. 2015;36(3):1752-60.