| Title of paper:
|
Extended intuitionistic fuzzy graphs
|
| Author(s):
|
| Krassimir Atanassov
|
Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
Intelligent Systems Laboratory, “Prof. Asen Zlatarov” University, Bourgas-8010, Bulgaria
|
| krat@bas.bg
|
|
| Published in:
|
"Notes on Intuitionistic Fuzzy Sets", Volume 20, 2014, Number 1, pages 20-39
|
| Download:
|
 PDF (221 Kb, File info)
|
| Abstract:
|
On the basis of the definition of the concept of the extended intuitionistic fuzzy index matrix, in the paper the concept of an extended intuitionistic fuzzy graph is proposed. Some properties are discussed and examples are given.
|
| Keywords:
|
Extended intuitionistic fuzzy index matrix, Extended intuitionistic fuzzy graph, Index matrix, Intuitionistic fuzzy index matrix.
|
| AMS Classification:
|
03E72, 05C62, 68R10.
|
| References:
|
- Atanassov, K. Generalized index matrices, Comptes rendus de l’Academie Bulgare des Sciences, Vol. 40, 1987, No. 11, 15–18.
- Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg, 1999.
- Atanassov, K. On index matrices, Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, Vol. 20, 2010, No. 2, 291–302.
- Atanassov, K. On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, Vol. 13, 2010, No. 2, 121–126.
- Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
- Atanassov, K. Extended intuitionistic fuzzy index matrices, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 4, 27–41.
- Atanassov, K., E. Sotirova, V. Bureva. On index matrices. Part 4: New operations over index matrices. Advanced Studies in Contemporary Mathematics, Vol. 23, 2013, No. 3, 547–552.
- Christofides, N. Graph Theory. Academic press, new York, 1975.
- Shannon, A., K. Atanassov. A first step to a theory of the intuitionistic fuzzy graphs, Proc. of the First Workshop on Fuzzy Based Expert Systems (D. Lakov, Ed.), Sofia, Sept. 28–30, 1994, 59–61.
|
| 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.
|
|
