| Title of paper:
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New results on the InterCriteria Analysis
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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, 105 Acad. G. Bonchev Str., 1113 Sofia, Bulgaria
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| krat@bas.bg
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| Published in:
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Notes on Intuitionistic Fuzzy Sets, Volume 30 (2024), Number 2, pages 156-164
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| DOI:
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https://doi.org/10.7546/nifs.2024.30.2.156-164
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| Download:
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 PDF (193 Kb, File info)
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| Abstract:
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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.
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| Keywords:
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Data, InterCriteria Analysis, Index matrix, Intuitionistic fuzzy pair, Interval-valued intuitionistic fuzzy pair, Uncertainty
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| AMS Classification:
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03E72.
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| References:
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- 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.
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