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Intuitionistic Smooth Fuzzy $\theta$-Closure Operator

Yıl 2022, Cilt: 10 Sayı: 1, 92 - 102, 15.04.2022

S. Jafari , T Menagadevi P Maragatha Meenakshı N. Rajesh

Öz

In this paper, the concepts of intuitionistic $r$-fuzzy $\theta$-open ($\theta$-closed) sets and intuitionistic $r$-fuzzy $\theta$-closure operator are introduced and discussed in intuitionistic smooth fuzzy topological spaces. As applications of these concepts, certain functions are characterized in terms of intuitionistic smooth fuzzy $\theta$-closure operator.

Anahtar Kelimeler

Intuitionistic Smooth Fuzzy topology intuitionistic fuzzy r-open set intuitionistic fuzzy r--open set intuitionistic r-fuzzy -open set.

Kaynakça

  • [1] S. E. Abbas and M. Azab Abd-allah, Some properties of Intuitionistic R-fuzzy semi-open sets, J. Fuzzy Math., 13 (2) (2005), 407-422.
  • [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96.
  • [3] D. Coker, An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces, J. Fuzzy Math., 4(2) (1996), 749-764.
  • [4] D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88 (1997), 81-89.
  • [5] D. Coker and M. Demirci, On intuitionistic fuzzy points, Notes on intuitionistic fuzzy sets, 1(1995), 79-84.
  • [6] J. Gupta1 and M. Shrivastava, Semi Pre Open Sets and Semi Pre Continuity in Sostak Intuitionistic Fuzzy Topological Space, International Journal of Advance Research in Science Engineering, 6 (11) 92017, 602-610.
  • [7] I. M. Hanafy, On fuzzy g-open sets and fuzzy g-continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math., 10 (1) (2002), 9-19.
  • [8] S. K. Samanta, T. K. Mondal, Intuitionistic gradation of openness: intuitionistic fuzzy topology, Busefal 73 (1997), 8-17.
  • [9] S. K. Samanta and T. K. Mondal, On intuitionistic gradation of openness, Fuzzy Sets and Systems, 131 (2002),323-336.
  • [10] P. K. Lim, S. R. Kim and K. Hur, Intuitionistic smooth topological spaces, Journal of Korean Institute of Intelligent Systems, 20 (6) (2010), 875-883. https://doi.org/10.5391/JKIIS.2010.20.6.875
  • [11] L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.

Yıl 2022, Cilt: 10 Sayı: 1, 92 - 102, 15.04.2022

S. Jafari , T Menagadevi P Maragatha Meenakshı N. Rajesh

Öz

Kaynakça

  • [1] S. E. Abbas and M. Azab Abd-allah, Some properties of Intuitionistic R-fuzzy semi-open sets, J. Fuzzy Math., 13 (2) (2005), 407-422.
  • [2] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20 (1986), 87-96.
  • [3] D. Coker, An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces, J. Fuzzy Math., 4(2) (1996), 749-764.
  • [4] D. Coker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems, 88 (1997), 81-89.
  • [5] D. Coker and M. Demirci, On intuitionistic fuzzy points, Notes on intuitionistic fuzzy sets, 1(1995), 79-84.
  • [6] J. Gupta1 and M. Shrivastava, Semi Pre Open Sets and Semi Pre Continuity in Sostak Intuitionistic Fuzzy Topological Space, International Journal of Advance Research in Science Engineering, 6 (11) 92017, 602-610.
  • [7] I. M. Hanafy, On fuzzy g-open sets and fuzzy g-continuity in intuitionistic fuzzy topological spaces, J. Fuzzy Math., 10 (1) (2002), 9-19.
  • [8] S. K. Samanta, T. K. Mondal, Intuitionistic gradation of openness: intuitionistic fuzzy topology, Busefal 73 (1997), 8-17.
  • [9] S. K. Samanta and T. K. Mondal, On intuitionistic gradation of openness, Fuzzy Sets and Systems, 131 (2002),323-336.
  • [10] P. K. Lim, S. R. Kim and K. Hur, Intuitionistic smooth topological spaces, Journal of Korean Institute of Intelligent Systems, 20 (6) (2010), 875-883. https://doi.org/10.5391/JKIIS.2010.20.6.875
  • [11] L.A. Zadeh, Fuzzy sets, Information and Control 8 (1965), 338-353.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Articles
Yazarlar

S. Jafari

T Menagadevi

P Maragatha Meenakshı

N. Rajesh

Yayımlanma Tarihi 15 Nisan 2022
Gönderilme Tarihi 13 Şubat 2022
Kabul Tarihi 22 Mart 2022
Yayımlandığı Sayı Yıl 2022 Cilt: 10 Sayı: 1

Kaynak Göster

APA Jafari, S., Menagadevi, T., Maragatha Meenakshı, P., Rajesh, N. (2022). Intuitionistic Smooth Fuzzy $\theta$-Closure Operator. Konuralp Journal of Mathematics, 10(1), 92-102.
AMA Jafari S, Menagadevi T, Maragatha Meenakshı P, Rajesh N. Intuitionistic Smooth Fuzzy $\theta$-Closure Operator. Konuralp J. Math. Nisan 2022;10(1):92-102.
Chicago Jafari, S., T Menagadevi, P Maragatha Meenakshı, ve N. Rajesh. “Intuitionistic Smooth Fuzzy $\theta$-Closure Operator”. Konuralp Journal of Mathematics 10, sy. 1 (Nisan 2022): 92-102.
EndNote Jafari S, Menagadevi T, Maragatha Meenakshı P, Rajesh N (01 Nisan 2022) Intuitionistic Smooth Fuzzy $\theta$-Closure Operator. Konuralp Journal of Mathematics 10 1 92–102.
IEEE S. Jafari, T. Menagadevi, P. Maragatha Meenakshı, ve N. Rajesh, “Intuitionistic Smooth Fuzzy $\theta$-Closure Operator”, Konuralp J. Math., c. 10, sy. 1, ss. 92–102, 2022.
ISNAD Jafari, S. vd. “Intuitionistic Smooth Fuzzy $\theta$-Closure Operator”. Konuralp Journal of Mathematics 10/1 (Nisan 2022), 92-102.
JAMA Jafari S, Menagadevi T, Maragatha Meenakshı P, Rajesh N. Intuitionistic Smooth Fuzzy $\theta$-Closure Operator. Konuralp J. Math. 2022;10:92–102.
MLA Jafari, S. vd. “Intuitionistic Smooth Fuzzy $\theta$-Closure Operator”. Konuralp Journal of Mathematics, c. 10, sy. 1, 2022, ss. 92-102.
Vancouver Jafari S, Menagadevi T, Maragatha Meenakshı P, Rajesh N. Intuitionistic Smooth Fuzzy $\theta$-Closure Operator. Konuralp J. Math. 2022;10(1):92-102.
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