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Issue:Interval-valued intuitionistic fuzzy graphs: Difference between revisions

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  | file            = NIFS-25-1-21-31.pdf
  | file            = NIFS-25-1-21-31.pdf
  | format          = PDF
  | format          = PDF
  | size            = 185 Kb
  | size            = 178 Kb
  | abstract        = 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
  | abstract        = 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.
over these graphs are given.

Revision as of 17:10, 23 April 2019

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Title of paper: Interval-valued intuitionistic fuzzy graphs
Author(s):
Krassimir Atanassov
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
krat@bas.bg
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 25 (2019), Number 1, pages 21–31
DOI: https://doi.org/10.7546/nifs.2019.25.1.21-31
Download:  PDF (178 Kb  Kb, Info)
Abstract: 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.

Keywords: TInterval-valued intuitionistic fuzzy graph, Interval-valued intuitionistic fuzzy set.
AMS Classification: 03E72, 05C10
References:
  1. 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.
  2. Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer, Heidelberg.
  3. Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus, Springer, Cham.
  4. Kaufmann, A. (1977). Introduction a la Theorie des Sour-ensembles Flous, Paris, Masson.
  5. 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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