Have a personal or library account? Click to login
A multi-criteria decision problem based on information uncertainty conveyed by intuitionistic interval-valued fuzzy sets Cover

A multi-criteria decision problem based on information uncertainty conveyed by intuitionistic interval-valued fuzzy sets

Open Access
|Mar 2026

References

  1. Aikhuele, D. O. (2017) Interval-valued intuitionistic fuzzy multi-criteria model for design concept selection. Management Science Letters, 7, 457–466.
  2. Alkhazaleh, S. (2015) The Multi-Interval-Valued Fuzzy Soft Set with Application in Decision Making. Applied Mathematics, 6, 8, 1250-1262.
  3. Atanassov, K. and Gargov, G. (1989) Interval valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31, 343-349.
  4. Bai, Z. (2013) An Interval-Valued Intuitionistic Fuzzy TOPSIS Method Based on an Improved Score Function. The Scientific World Journal, 2013, 1, 1-6.
  5. Behzadian, M., Otaghsara, S. K., Yazdani, M. and Ignatius, J. (2012) A state-of the-art survey of TOPSIS applications. Exp. Syst. Appl., 39 (17), 13051–13069.
  6. Gorzałczany, M. B. (1987) A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets and Systems, 21, 1, 1-17.
  7. Hellwig, Z. (1968) Zastosowanie Metody Taksonomicznej Do Typologicznego Podzia lu Krajów Ze Względu Na Poziom Ich Rozwoju Oraz Zasoby I Strukturę Wykwalifikowanych Kadr [Applying the taxonomic method to typological classification of countries regarding their development level and the resources as well as structure of skilled personel; in Polish]. Przegląd Statystyczny, 15, 4, 307-327.
  8. Hwang, C.L. and Yoon, K. (1981) Methods for Multiple Attribute Decision Making. In: Multiple Attribute Decision Making. Lecture Notes in Economics and Mathematical Systems, 186. Springer, Berlin, 58-191.
  9. Hwang, C.L., Lai, Y.J. and Liu, T. Y. (1993) A new approach for multiple objective decision making. Computers and Operational Research, 20 (8), 889–899.
  10. Kacprzyk, J., Krawczak, M. and Szkatuła, G. (2017) On bilateral matching between fuzzy sets. Information Sciences, 402, 244-266.
  11. Kokoc, M. and Ersöz, S. (2021) A literature review of interval-valued intuitionistic fuzzy multi-criteria decision-making methodologies, Operations Research and Decisions, 31, 4, 89-116.
  12. Krohling, R. A. and Pacheco, A. G. C. (2014) Interval-Valued Intuitionistic Fuzzy TODIM. Procedia Computer Science, 31, 236-244.
  13. Nayagam, V. L. G., Muralikrishnan, S. and Sivaraman, G. (2011) Multi-criteria decision-making method based on interval-valued intuitionistic fuzzy sets. Expert Systems with Applications, 38, 1464–1467.
  14. Ren, L., Zhang, Y., Wang, Y. and Sun, Z. (2007) Comparative analysis of a novel M-TOPSIS method and TOPSIS. Applied Mathematics Research eXpress, 2007, DOI/10.1093/amrx/abm005.
  15. Selvaraj, J. and Majumdar, A. (2021) A New Ranking Method for Interval-Valued Intuitionistic Fuzzy Numbers and Its Application in Multi-Criteria Decision-Making. Mathematics, 9, 2647, doi.org/10.3390/math9212647
  16. Szkatuła, G. and Krawczak, M. (2024) Bidirectional Comparison of Nominal Sets: Asymmetry of Proximity. Studies in Computational Intelligence 1140. Springer,
  17. Szkatuła, G. and Krawczak, M. (in preparation) On directional quantitative assessment of information uncertainty conveyed by interval-valued intuitionistic fuzzy sets.
  18. Wierzbicki, A. P. (1997) On the Role of Intuition in Decision Making and Some Ways of Multicriteria Aid of Intuition. Journal of Multi-Criteria Decision Analysis, 6, 65–78.
  19. Ye, J. (2009) Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment. Expert Systems with Applications, 36, 3, 6899–6902.
  20. Yoon, K. (1987) A reconciliation among discrete compromise situations. Journal of the Operational Research Society, 38 (3), 277–286.
  21. Xu, Z. S. (2007) Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making. Control and Decision, 22(2), 215–219.
  22. Zionts, S. (1979) MCDM: If Not a Roman Numeral, then What? Interfaces, 9, 4, 94-101.
DOI: https://doi.org/10.2478/candc-2025-0016 | Journal eISSN: 2720-4278 | Journal ISSN: 0324-8569
Language: English
Page range: 461 - 486
Submitted on: Nov 1, 2025
|
Accepted on: Dec 1, 2025
|
Published on: Mar 9, 2026
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2026 Grażyna Szkatuła, Maciej Krawczak, published by Systems Research Institute Polish Academy of Sciences
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.