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 Download:  PDF (193  Kb, File info) 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: Atanassov, K. (1987). Generalized index matrices. Comptes rendus de l’Academie Bulgare des Sciences, 40(11), 15–18. Atanassov, K. (2012). On Intuitionistic Fuzzy Sets Theory. Springer, Berlin. Atanassov, K. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Springer, Cham. Atanassov, K. (2017). Intuitionistic Fuzzy Logics. Springer, Cham. Atanassov, K. (2020). Interval-Valued Intuitionistic Fuzzy Sets. Springer, Cham. Atanassov, K., Atanassova, V., & Gluhchev, G. (2015). InterCriteria Analysis: Ideas and problems. Notes on Intuitionistic Fuzzy Sets, 21(1), 81–88. 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. 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. Atanassov, K., Vassilev, P., Kacprzyk, J., & Szmidt, E. (2018). On interval valued intuitionistic fuzzy pairs. Journal of Universal Mathematics, 1(3), 261–268. Atanassov, K., Szmidt, E., & Kacprzyk, J. (2013).On intuitionistic fuzzy pairs. Notes on Intuitionistic Fuzzy Sets, 19(3), 1–13. 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. Todorova, S. (2022–2023). Overview of the publications on index matrices. Annual of Section “Informatics” of the Union of Bulgarian Scientists, 12, 32–62. Citations: The list of publications, citing this article may be empty or incomplete. If you can provide relevant data, please, write on the talk page.