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Issue:InterCriteria Analysis with weight coefficients of objects or criteria

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Title of paper: InterCriteria Analysis with weight coefficients of objects or criteria
Author(s):
Krassimir Atanassov
Department of BioInformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 "Acad. Georgi Bonchev" Str., Sofia 1113, Bulgaria
Intelligent Systems Laboratory, "Prof. Dr. Assen Zlatarov" University, 1 "Prof. Yakimov" Blvd., Burgas 8010, Bulgaria
krat@bas.bg
Deyan Mavrov
Intelligent Systems Laboratory, "Prof. Dr. Assen Zlatarov" University, 1 "Prof. Yakimov" Blvd., Burgas 8010, Bulgaria
deyanmegara@gmail.com
Vassia Atanassova
Department of BioInformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 "Acad. Georgi Bonchev" Str., Sofia 1113, Bulgaria
vassia.atanassova@gmail.com
Presented at: 26th International Conference on Intuitionistic Fuzzy Sets, Sofia, 26—27 June 2023
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 29 (2023), Number 2, pages 157–165
DOI: https://doi.org/10.7546/nifs.2023.29.2.157-165
Download:  PDF (274  Kb, Info)
Abstract: The idea of the InterCriteria Analysis (ICA) was generated by the authors in 2014. For the next (already 9) years, ICA has been an object of intensive research and applications. In the present paper, an extension of the ICA is introduced. In it, the criteria or the objects have their own weight coefficients, or priorities. In the particular case, when these coefficients are equal to 1, the standard ICA appears.
Keywords: InterCriteria Analysis, Intuitionistic fuzzy sets, Weight coefficients, Criteria, Objects.
AMS Classification: 03E72.
References:
  1. Atanassov, K. (1987). Generalized index matrices. Comptes rendus de l’Academie Bulgare des Sciences, 40(11), 15–18.
  2. Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer-Verlag, Heidelberg.
  3. Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Springer, Cham.
  4. Atanassov, K., Mavrov, D., & Atanassova, V. (2014). Intercriteria decision making: A new approach for multicriteria decision making, based on index matrices and intuitionistic fuzzy sets. Issues in Intuitionistic Fuzzy Sets and Generalized Nets, 11, 1–8.
  5. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013). On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13
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