| Title of paper:
|
Intuitionistic fuzzy metric space
|
| Author(s):
|
| Said Melliani
|
| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
|
| melliani@fstbm.ac.ma
|
| M'hamed Elomari
|
| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
|
|
|
| Lalla Saadia Chadli
|
| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
|
|
|
| Razzika Ettoussi
|
| Laboratoire de Mathématiques Appliquées & Calcul Scientifique, Sultan Moulay Slimane University, BP 523, 23000 Beni Mellal, Morocco
|
|
|
|
| Published in:
|
"Notes on IFS", Volume 21, 2015, Number 1, pages 43—53
|
| Download:
|
 PDF (187 Kb, File info)
|
| Abstract:
|
We propose a method for constructing a Hausdorff intuitionistic fuzzy metric on the set of the nonempty compact subsets of a given intuitionistic fuzzy metric space. We discuss several important properties as completeness, completion and separability.
|
| Keywords:
|
Intuitionistic fuzzy sets, Intuitionistic fuzzy metric space, Intuitionistic fuzzy number.
|
| AMS Classification:
|
03E72, 08A72.
|
| References:
|
- Atanassov, K. (1986) Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87–96.
- Atanassov, K. (1999) Intuitionistic Fuzzy Sets: Theory and Applications, Springer Physica-Verlag, Heidelberg.
- Atanassov, K., Vassilev, P., & Tsvetkov, R. (2013) Intuitionistic Fuzzy Sets, Measures and integrals Bulgarian Academic Monographs (12), Professor Marin Drinov Academic Publishing House, Sofia.
- Brezis, H. (2010) Functional Analysis, Sobolev Spaces and Partial Differential Equations, Springer.
- Chadli, L. S., & Melliani, S. (2002) On distance between intuitionistic fuzzy sets, Notes on Intuitionistic fuzzy sets, 8(3), 34–36.
- Grzegorzewski, P. (2004) Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric, Fuzzy Sets and Systems, 148, 148–319.
- Puri, M. L., & Ralescu, D. A. (1986) Fuzzy random variables, J. Math. Anal. Appl., 114, 409–422.
- Saadati, R., & Park, J. H. (2006) On the intuitionistic fuzzy topological spaces, Chaos Solitons Fractals, 27 331–344.
- Szmidt, E., & Kacprzyk, J. (2000) Distances between intuitionistic fuzzy sets, Fuzzy Sets and Systems, 114, 505–518.
|
| 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.
|
|
