Araştırma Makalesi
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Generalized Topological Notions by Operators

Yıl 2018, Sayı: 25, 16 - 28, 06.10.2018

Öz

In this paper, it is introduced the notion of r-fuzzy β-Ti
, i = 0, 1, 2 separation axioms
related to a fuzzy operator β on the initial set X which is a generalization of previous fuzzy separation
axioms. An r-fuzzy α-connectedness related to a fuzzy operator α on the set X is introduced
which is a generalization of many types of r-fuzzy connectedness. An r-fuzzy α-compactness related
to a fuzzy operator α on the set X is introduced which is a generalization of many types of fuzzy
compactness. 

Kaynakça

  • [1] S. E. Abbas, Fuzzy super irresolute functions, IJMMS 42 (2003) 2689 - 2700.
  • [2] S. E. Abbas, Fuzzy S P-irresolute functions, Chaos, Solitons and Fractals 21 (2004) 1075 - 1085.
  • [3] S. E. Abbas, Fuzzy S -irresolute mappings, Appl. Math. Comp. 155(2) (2004) 329 - 343.
  • [4] S. E. Abbas and I. Ibedou, Fuzzy (α, β, θ, δ, I)-continuous functions, J. of Fuzzy Mathematics 25(3) (2017) 691–702.
  • [5] F. Bayoumi and I. Ibedou, Ti-spaces, I, The Journal of the Egyptian Mathematical Society 10(2) (2002) 179 - 199.
  • [6] Ismail Ibedou, Graded fuzzy topological spaces, Journal of Cogent Mathematics 3 (2016) 1 - 13.
  • [7] Y. C. Kim and Y. S. Kim, Connectedness in smooth fuzzy topological spaces, Far East J. Math. Sci. 5(3) (2002) 165 - 180.
  • [8] Y. C. Kim, A. A. Ramadan and S. E. Abbas, Weaker forms of continuity on Sˇostak’s fuzzy topology, Indian J. of Pure and Applied Math. 34(2) (2003) 311 - 333.
  • [9] Y. C. Kim, A. A. Ramadan and S. E. Abbas, Some good dilutions of compactness in Sˇostak’s fuzzy topology, J. of Fuzzy Mathematics 11(4) (2003) 933–944.
  • [10] Y. C. Kim, A. A. Ramadan and S. E. Abbas, Strongly connectedness in L-fuzzy topological spaces, J. of Fuzzy Mathematics 12(2) (2004) 479 - 491.
  • [11] Y. C. Kim and S. E. Abbas, On several types of r-fuzzy compactness, J. of Fuzzy Mathematics 12(4) (2004) 827–844.
  • [12] A. A. Ramadan, S. E. Abbas and Y. C. Kim, Fuzzy irresolute mappings in smooth fuzzy topological spaces, J. of Fuzzy Mathematics 9(4) (2001) 865-977.
  • [13] A. A. Ramadan, Y. C. Kim and M. K. El-Gayyar, Smooth ideals, J. of Korean Institute of intelligent systems 12(1) (2002) 90 - 95.
  • 14] A. P. Sˇostak, On a fuzzy topological structure, Suppl Rend. Circ. Math. Palermo Ser. II 11 (1985) 89 - 103.
Yıl 2018, Sayı: 25, 16 - 28, 06.10.2018

Öz

Kaynakça

  • [1] S. E. Abbas, Fuzzy super irresolute functions, IJMMS 42 (2003) 2689 - 2700.
  • [2] S. E. Abbas, Fuzzy S P-irresolute functions, Chaos, Solitons and Fractals 21 (2004) 1075 - 1085.
  • [3] S. E. Abbas, Fuzzy S -irresolute mappings, Appl. Math. Comp. 155(2) (2004) 329 - 343.
  • [4] S. E. Abbas and I. Ibedou, Fuzzy (α, β, θ, δ, I)-continuous functions, J. of Fuzzy Mathematics 25(3) (2017) 691–702.
  • [5] F. Bayoumi and I. Ibedou, Ti-spaces, I, The Journal of the Egyptian Mathematical Society 10(2) (2002) 179 - 199.
  • [6] Ismail Ibedou, Graded fuzzy topological spaces, Journal of Cogent Mathematics 3 (2016) 1 - 13.
  • [7] Y. C. Kim and Y. S. Kim, Connectedness in smooth fuzzy topological spaces, Far East J. Math. Sci. 5(3) (2002) 165 - 180.
  • [8] Y. C. Kim, A. A. Ramadan and S. E. Abbas, Weaker forms of continuity on Sˇostak’s fuzzy topology, Indian J. of Pure and Applied Math. 34(2) (2003) 311 - 333.
  • [9] Y. C. Kim, A. A. Ramadan and S. E. Abbas, Some good dilutions of compactness in Sˇostak’s fuzzy topology, J. of Fuzzy Mathematics 11(4) (2003) 933–944.
  • [10] Y. C. Kim, A. A. Ramadan and S. E. Abbas, Strongly connectedness in L-fuzzy topological spaces, J. of Fuzzy Mathematics 12(2) (2004) 479 - 491.
  • [11] Y. C. Kim and S. E. Abbas, On several types of r-fuzzy compactness, J. of Fuzzy Mathematics 12(4) (2004) 827–844.
  • [12] A. A. Ramadan, S. E. Abbas and Y. C. Kim, Fuzzy irresolute mappings in smooth fuzzy topological spaces, J. of Fuzzy Mathematics 9(4) (2001) 865-977.
  • [13] A. A. Ramadan, Y. C. Kim and M. K. El-Gayyar, Smooth ideals, J. of Korean Institute of intelligent systems 12(1) (2002) 90 - 95.
  • 14] A. P. Sˇostak, On a fuzzy topological structure, Suppl Rend. Circ. Math. Palermo Ser. II 11 (1985) 89 - 103.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

İsmail Ibedou Bu kişi benim

Yayımlanma Tarihi 6 Ekim 2018
Gönderilme Tarihi 26 Nisan 2018
Yayımlandığı Sayı Yıl 2018 Sayı: 25

Kaynak Göster

APA Ibedou, İ. (2018). Generalized Topological Notions by Operators. Journal of New Theory(25), 16-28.
AMA Ibedou İ. Generalized Topological Notions by Operators. JNT. Ekim 2018;(25):16-28.
Chicago Ibedou, İsmail. “Generalized Topological Notions by Operators”. Journal of New Theory, sy. 25 (Ekim 2018): 16-28.
EndNote Ibedou İ (01 Ekim 2018) Generalized Topological Notions by Operators. Journal of New Theory 25 16–28.
IEEE İ. Ibedou, “Generalized Topological Notions by Operators”, JNT, sy. 25, ss. 16–28, Ekim 2018.
ISNAD Ibedou, İsmail. “Generalized Topological Notions by Operators”. Journal of New Theory 25 (Ekim 2018), 16-28.
JAMA Ibedou İ. Generalized Topological Notions by Operators. JNT. 2018;:16–28.
MLA Ibedou, İsmail. “Generalized Topological Notions by Operators”. Journal of New Theory, sy. 25, 2018, ss. 16-28.
Vancouver Ibedou İ. Generalized Topological Notions by Operators. JNT. 2018(25):16-28.


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