| Title of paper:
|
On compactness in temporal intuitionistic fuzzy Šostak topology
|
| Author(s):
|
| F. Kutlu
|
| Yüzüncü Yıl University, Department of Electronic and Communication Tech., Van, Turkey
|
| fatihkutlu@yyu.edu.tr
|
| A. A. Ramadan
|
| Beni Suef University, Department of Mathematics, Banī Suwayf, Beni-Suef, Egypt
|
| ramadan58@hotmail.com
|
| T. Bilgin
|
| Yüzüncü Yıl University, Department of Electronic and Communication Tech., Van, Turkey
|
| tbilgin@yyu.edu.tr
|
|
| Published in:
|
"Notes on IFS", Volume 22, 2016, Number 5, pages 46—62
|
| Download:
|
 PDF (123 Kb, File info)
|
| Abstract:
|
In this paper, we introduce concepts of temporal and overall intuitionistic fuzzy continuous mapping, (αt, βt)-temporal intuitionistic fuzzy (almost, nearly) compactness, (αt, βt)-overall intuitionistic fuzzy (almost, nearly) compactness, (α*, β*)-continuous intuitionistic fuzzy (almost, nearly) compactness in temporal intuitionistic fuzzy Šostak topological space and we investigate some properties of these concepts.
|
| Keywords:
|
Temporal intuitionistic fuzzy sets, Temporal intuitionistic fuzzy topology, Compactness, Continuity
|
| AMS Classification:
|
47S40
|
| References:
|
- Abbas, S. E. (2005) On intuitionistic fuzzy compactness. Information Sciences, 173, 75–91
- Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1), 87–96
- Atanassov, K. T. (2012) On Intuitionistic Fuzzy Sets Theory. Springer. Berlin.
- Atanassov, K. T. (1991) Temporal intuitionistic fuzzy sets. Comptes Rendus de l’Academie Bulgare, 44(7), 5–7.
- Çoker, D., & Demirci, M. (1996) An introduction to intuitionistic topological spaces in Šostak’s sense. BUSEFAL, 67, 67–76.
- Chang, C. L. (1968) Fuzzy topological spaces. J. Math Ana. Appl., 24, 182–190.
- Demirci, M. (1997) On Several Types of compactness in smooth topological spaces. Fuzzy Sets and Systems, 90, 83–88.
- Ertürk, R., & Demirci, M. (1998) On the compactness in fuzzy topological spaces in Šostak’s sense. Matematicki Vesnik, 50, 75–81.
- Kim, J. T., & Lee, S. J. (2014) Intuitionistic Smooth Bitopological Spaces and Continuity. International Journal of Fuzzy Logic and Intelligent Systems, 14, 49–56.
- Kutlu, F., & Bilgin, T. (2015) Temporal intuitionistic fuzzy topology in Šostak’s sense. Notes on Intuitionistic Fuzzy Sets, 21(2), 63–70.
- Lee, E. P. (2004) Semiopen sets on intuitionistic fuzzy topological spaces in Šostak's sense. J. Fuzzy Logic and Intelligent Systems, 14(2), 234–238.
- Šostak, A. (1985) On a fuzzy topological structure. Rend Circ. Mat. Palermo, Supp. 11 89–103.
- Parvathi, R. & Geetha, S. P. (2009) A note on properties of temporal intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 15(1), 42–48.
- Ramadan A. A., Abbas, S. E., & Abd el-latif A. A. (2005) Compactness in fuzzy topological spaces. International Journal of Mathematics and Mathematical Sciences, 1, 19–32.
- Yılmaz, S., & Çuvalcıoğlu, G. (2014) On level operators for temporal intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 20(2), 6–15.
- Ban, A. I. (1997) Convex temporal intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 3(2), 77–81.
|
| Citations:
|
The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.
|
|
