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http://ifigenia.org/wiki/issue:nifs/25/1/21-31
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| Title of paper:
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Interval-valued intuitionistic fuzzy graphs
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| Author(s):
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| Krassimir Atanassov
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Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 105, Sofia-1113, Bulgaria
Intelligent Systems Laboratory, Prof. Asen Zlatarov University, Bourgas-8010, Bulgaria
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| krat@bas.bg
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 1, pages 21–31
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| DOI:
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https://doi.org/10.7546/nifs.2019.25.1.21-31
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| Download:
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 PDF (178 Kb, File info)
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| Abstract:
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The definitions of eight different types of interval-valued intuitionistic fuzzy graphs are introduced and their representations by index matrices are discussed. Examples for operations
over these graphs are given.
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| Keywords:
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TInterval-valued intuitionistic fuzzy graph, Interval-valued intuitionistic fuzzy set.
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| AMS Classification:
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03E72, 05C10
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| References:
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- Atanassov, K. (1983). Intuitionistic fuzzy sets, VII ITKR’s Session, Sofia, June 1983 (Deposed in Central Sci. - Techn. Library of Bulg. Acad. of Sci., 1697/84, in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
- Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer, Heidelberg.
- Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus, Springer, Cham.
- Kaufmann, A. (1977). Introduction a la Theorie des Sour-ensembles Flous, Paris, Masson.
- Shannon, A., & Atanassov, K. (1994). 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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