| Title of paper:
|
Intuitionistic fuzzy digital CS-filtered structured spaces
|
| Author(s):
|
| S. Meenakshi
|
| Department of Mathematics, Sri Sarada College for Women (Autonomous), Salem, Tamil Nadu, India
|
| sylphmeenu@gmail.com
|
| D. Amsaveni
|
| Department of Mathematics, Sri Sarada College for Women (Autonomous), Salem, Tamil Nadu, India
|
|
|
| J. Tamilmani
|
| Department of Mathematics, Sri Sarada College for Women (Autonomous), Salem, Tamil Nadu, India
|
|
|
|
| Published in:
|
Notes on Intuitionistic Fuzzy Sets, Volume 24 (2018), Number 1, pages 30–36
|
| DOI:
|
https://doi.org/10.7546/nifs.2018.24.1.30-36
|
| Download:
|
 PDF (231 Kb Kb, File info)
|
| Abstract:
|
The motivation of this article is to introduce a new version of intuitionistic fuzzy digital CS-filtered structure spaces and intuitionistic fuzzy digital Hausdorff CS-filtered structure spaces in the Euclidean plane. Also we defined and studied about [math]\displaystyle{ \mathcal{D^*} }[/math] structure saturated sets, [math]\displaystyle{ \mathcal{D^*} }[/math] compact structure spaces and [math]\displaystyle{ \mathcal{D^*} }[/math] structure filtered family of sets. Moreover some of the properties are exhibited related to the above said spaces.
|
| Keywords:
|
Intuitionistic fuzzy sets, [math]\displaystyle{ \mathcal{D^*} }[/math] structure saturated sets, [math]\displaystyle{ \mathcal{D^*} }[/math] structure filtered family, [math]\displaystyle{ \mathcal{D^*} }[/math] CS-filtered structure spaces, [math]\displaystyle{ \mathcal{D^*} }[/math] Hausdorff CS-filtered structure spaces, [math]\displaystyle{ \mathcal{D^*} }[/math] compact structure spaces and [math]\displaystyle{ \mathcal{D^*} }[/math] structure continuous functions.
|
| AMS Classification:
|
54A40, 03E72.
|
| References:
|
- Atanassov, K. T., & Stoeva, S. (1983) Intuitionistic Fuzzy Sets, in: Polish Symp. On Internal and Fuzzy Mathematics, Poznan (August 1983), 23–26.
- Atanassov, K. T. (1983) Intuitionistic Fuzzy Sets, VII ITKR Session, Sofia, 20-23 June 1983 (Deposed in Centr. Sci.-Techn. Library of the Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6 (in English).
- Atanassov, K. T. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20(1), 87–96.
- Grillet, P. A. (2007) Abstract Algebra, Graduate text in Mathematics, Springer publications, II edition.
- Kong, T. Y., & Rosenfeld. A (1989) Digital topology, Introduction and Survey, Computer Vision, Graphics and Image Processing, 48, 357–393.
- Meenakshi, S., & Amsaveni, D. (2016) Intuitionistic Fuzzy Digital structure Convexity and Concavity, Proceedings of the conference, Wide views on analysis and its applications, Oct. 2016, 60–69.
- Rosenfeld, A. (1979) Digital Topology, American Mathematical Monthly, 86, 621–630.
- Rosenfeld, A. (1979) Fuzzy digital topology, Information and Control, 40(1), 76–87.
- Rosenfeld, A. (1983) On Connectivity properties of gray scale pictures, Pattern Recognition Letters, 16, 47–50.
- Zadeh, L. A. (1965) Fuzzy Sets, Information and Control, 8, 338–353.
|
| 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.
|
|
