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Issue:New results on the InterCriteria Analysis

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Title of paper: New results on the InterCriteria Analysis
Author(s):
Krassimir Atanassov
Department of Bioinformatics and Mathematical Modelling, Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
krat@bas.bg
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 2, pages 156-164
DOI: https://doi.org/10.7546/nifs.2024.30.2.156-164
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Abstract: The Intercriteria Analysis (ICA) is an decision support approach based on the apparatus of intuitionistic fuzzy sets and the relations between the evaluations of a set of given objects evaluated against a set of fixed criteria. In the present paper we discuss three new procedures for evaluation of ICA when used over objects containing elements of uncertainty.
Keywords: Data, InterCriteria Analysis, Index matrix, Intuitionistic fuzzy pair, Interval-valued intuitionistic fuzzy pair, Uncertainty
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. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin.
  3. Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Springer, Cham.
  4. Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Springer, Cham.
  5. Atanassov, K. (2020). Interval-Valued Intuitionistic Fuzzy Sets. Springer, Cham.
  6. Atanassov, K., Atanassova, V., & Gluhchev, G. (2015). InterCriteria Analysis: Ideas and problems. Notes on Intuitionistic Fuzzy Sets, 21(1), 81–88.
  7. Atanassov, K., Marinov, P., & Atanassova, V. (2019). InterCriteria Analysis with Interval-Valued Intuitionistic Fuzzy Evaluations. Lecture Notes in Computer Science, Vol. 11529, Springer Verlag, 329–338.
  8. 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.
  9. Atanassov, K., Vassilev, P., Kacprzyk, J., & Szmidt, E. (2018). On interval valued intuitionistic fuzzy pairs. Journal of Universal Mathematics, 1(3), 261–268.
  10. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013).On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13.
  11. Chorukova, E., Marinov, P., & Umlenski, I. (2021). Survey on Theory and Applications of InterCriteria Analysis Approach. In: Atanassov, K.T. (ed.). Research in Computer Science in the Bulgarian Academy of Sciences. Studies in Computational Intelligence, vol 934. Springer, Cham. https://doi.org/10.1007/978-3-030-72284-5 20.
  12. Todorova, S. (2022–2023). Overview of the publications on index matrices. Annual of Section “Informatics” of the Union of Bulgarian Scientists, 12, 32–62.
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