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Issue:An extended framework for autocratic multi-parameter group decision making using interval-valued intuitionistic fuzzy numbers

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Title of paper: An extended framework for autocratic multi-parameter group decision making using interval-valued intuitionistic fuzzy numbers
Author(s):
Mousumi Akter     0009-0002-6647-8448
Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh
mousumiakter@pust.ac.bd
Sahadat Hossain     0000-0002-6401-7229
Department of Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh
sahadat@ru.ac.bd
Fazlul Hoque     0000-0001-8427-1489
Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh
fazlulmath@pust.ac.bd
Rafiqul Islam     0000-0003-4566-7231
Department of Mathematics, Pabna University of Science and Technology, Pabna-6600, Bangladesh
rafiq.math@pust.ac.bd
Nasimul Karim     0009-0002-6446-7542
Department of Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh
nasimulkarim.ru@gmail.com
Published in: Notes on Intuitionistic Fuzzy Sets, Volume 31 (2025), Number 2, pages 154–171
DOI: https://doi.org/10.7546/nifs.2025.31.2.154-171
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Abstract: The objective of this paper is to develop a more generalized autocratic multi-parameter group decision-making (AMPGDM) model that provides an optimal solution for choosing an ideal object among several choices in AMPGDM circumstances. Then we apply interval-valued intuitionistic fuzzy numbers (IVIFNs) to form the weight of the parameters and entries of the decision matrices. Finally, we introduce two modified methods to deal with AMPGDM problems that will provide the same outcome but in a short amount of time.
Keywords: Autocratic multi-parameter group decision-making, Interval-valued intuitionistic fuzzy set, Interval-valued intuitionistic fuzzy number, Weight vector, Resultant matrix, Weight evaluation matrix
AMS Classification: 03E72, 68T27, 15A30.
References:
  1. Atanassov, K. (1983). Intuitionistic fuzzy sets. VII ITKR’s Session, Sofia, June 1983. Deposed in Central Sci.-Techn. Library of Bulg. Acad. of Sci., 1697/84) (in Bulgarian). Reprinted: Int. J. Bioautomation, 2016, 20(S1), S1–S6.
  2. Atanassov, K. T. (1986). Intuitionistic fuzzy sets. Fuzzy Set and Systems, 20(1), 87–96.
  3. Atanassov, K. (1994). New operations defined over Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 61(2), 137–142.
  4. Atanassov, K. (1999). Intuitionistic Fuzzy Sets: Theory and Applications. Springer Physica-Verlag, Heidelberg.
  5. Atanassov, K. (1999). Interval valued intuitionistic fuzzy sets. In: Intuitionistic Fuzzy Sets: Theory and Applications (pp. 139–177). Springer Physica-Verlag, Heidelberg.
  6. Atanassov, K. (1997). Some operators on intuitionistic fuzzy sets. Notes on Intuitionistic Fuzzy Sets, 3(4), 28–33.
  7. Atanassov, K. T. (2014). Index Matrices: Towards an Augmented Matrix Calculus. Studies in Computational Intelligence, Vol. 573. Cham: Springer International Publishing.
  8. Atanassov, K. & Gargov, G. (1989). Interval-valued intuitionistic fuzzy sets. Fuzzy Sets and Systems, 31(3), 343–349.
  9. Atanassov, K., Pasi, G., & Yager, R. (2005). Intuitionistic fuzzy interpretations of multi-criteria multi-person and multi-measurement tool decision making. International Journal of Systems Science, 36(14), 859–868.
  10. Bhattacharya, J. (2023). Some new results on intuitionistic fuzzy operators. Notes on Intuitionistic Fuzzy Sets, 29(3), 247–260.
  11. Chang, Y. H., Yeh, C. H., & Chang, Y. W. (2013). A new method selection approach for fuzzy group multicriteria decision making. Applied Soft Computing, 13(4), 2179–2187.
  12. Chen, T. Y. (2015). The inclusion-based TOPSIS method with interval-valued intuitionistic fuzzy sets for multiple criteria group decision making. Applied Soft Computing, 26, 57–73.
  13. Chen, S. M., & Chang, C. H. (2016). Fuzzy multiattribute decision making based on transformation techniques of intuitionistic fuzzy values and intuitionistic fuzzy geometric averaging operators. Information Sciences, 352, 133–149.
  14. Chen, S. M., Cheng, S. H., & Lan, T. C. (2016). Multicriteria decision making based on the TOPSIS method and similarity measures between intuitionistic fuzzy values. Information Sciences, 367, 279–295.
  15. Chen, S. M., Cheng, S. H., & Tsai, W. H. (2016). Multiple attribute group decision making based on interval-valued intuitionistic fuzzy aggregation operators and transformation techniques of interval-valued intuitionistic fuzzy values. Information Sciences, 367, 418–442.
  16. Cheng, S. H. (2018). Autocratic multiattribute group decision making for hotel location selection based on interval-valued intuitionistic fuzzy sets. Information Sciences, 427, 77–87.
  17. Islam, R., Hossain, M. S., & Hoque, M. F. (2020). A study on intuitionistic L-fuzzy T1 spaces. Notes on Intuitionistic Fuzzy Sets, 26(3), 33–42.
  18. Jiang, Y., Xu, Z., & Shu, Y. (2017). Interval-valued intuitionistic multiplicative aggregation in group decision making. Granular Computing, 2, 387–407.
  19. Wang, L. (2020). A multi-criteria group decision making method and its applications based on improved intuitionistic fuzzy entropy and information integration operator. International Journal of Information and Management Science, 31, 375–392.
  20. Wibowo, S. (2013). Interval-valued intuitionistic fuzzy multicriteria group decision making approach for hotel selection. International Journal of Machine Learning and Computing, 3(1), 65–69.
  21. Xu, Z. (2007). Intuitionistic fuzzy aggregation operators. IEEE Transactions on Fuzzy Systems, 15(6), 1179–1187.
  22. Xu, Z. (2007). Methods for aggregating interval-valued intuitionistic fuzzy information and their application to decision making. Control and Decision, 22(2), 215–219.
  23. Xu, Z. (2010). A method based on distance measure for interval-valued intuitionistic fuzzy group decision making. Information sciences, 180(1), 181–190.
  24. Ye, J. (2012). Multicriteria decision-making method using the Dice similarity measure based on the reduct intuitionistic fuzzy sets of interval-valued intuitionistic fuzzy sets. Applied Mathematical Modelling, 36(9), 4466–4472.
  25. Yue, Z. (2011). Deriving decision maker’s weights based on distance measure for interval-valued intuitionistic fuzzy group decision making. Expert Systems with Applications, 38(9), 11665–11670.
  26. Yue, Z. (2012). Approach to group decision making based on determining the weights of experts by using projection method. Applied Mathematical Modelling, 36(7), 2900–2910.
  27. Zhang, X., & Xu, Z. (2015). Soft computing based on maximizing consensus and fuzzy TOPSIS approach to interval-valued intuitionistic fuzzy group decision making. Applied Soft Computing, 26, 42–56.
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