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Issue:Extended intuitionistic fuzzy graphs

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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 IFS", Volume 20, 2014, Number 1, pages 20-39
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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:
  1. Atanassov, K. Generalized index matrices, Comptes rendus de l’Academie Bulgare des Sciences, Vol. 40, 1987, No. 11, 15–18.
  2. Atanassov, K. Intuitionistic Fuzzy Sets: Theory and Applications, Springer, Heidelberg, 1999.
  3. Atanassov, K. On index matrices, Part 1: Standard cases. Advanced Studies in Contemporary Mathematics, Vol. 20, 2010, No. 2, 291–302.
  4. Atanassov, K. On index matrices, Part 2: Intuitionistic fuzzy case. Proceedings of the Jangjeon Mathematical Society, Vol. 13, 2010, No. 2, 121–126.
  5. Atanassov, K. On Intuitionistic Fuzzy Sets Theory, Springer, Berlin, 2012.
  6. Atanassov, K. Extended intuitionistic fuzzy index matrices, Notes on Intuitionistic Fuzzy Sets, Vol. 19, 2013, No. 4, 27–41.
  7. 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.
  8. Christofides, N. Graph Theory. Academic press, new York, 1975.
  9. 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.
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