A new last aggregation method of multi-attributes group decision making based on concepts of TODIM, WASPAS and TOPSIS under interval-valued intuitionistic fuzzy uncertainty

Abstract

Due to the complexity of decision making under uncertainty and the existence of various and often conflicting criteria, several methods have been proposed to facilitate decision making, and fuzzy logic has been used successfully to address this issue. This paper presents a new framework for solving multi-attributes group decision-making problems under fuzzy environments. The proposed algorithm has several features. First of all, the TODIM (an acronym in Portuguese for interactive multi-criteria decision making) method under interval-valued intuitionistic fuzzy uncertainty is employed. Moreover, objective and subjective weights for each decision maker are used to address this last aggregation approach. To consider weights of attributes, knowledge measure in addition to a new mathematical approach is introduced. A new aggregation and ranking method based on the WASPAS and TOPSIS methods, namely WT method, is presented and applied in this paper. Finally, the effectiveness of the proposed framework is shown by comparing the results with two different real-world applications in the literature.

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Acknowledgements

The authors would like to thank anonymous referees for their valuable comments and recommendations on this paper.

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Correspondence to S. Meysam Mousavi.

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Davoudabadi, R., Mousavi, S.M. & Mohagheghi, V. A new last aggregation method of multi-attributes group decision making based on concepts of TODIM, WASPAS and TOPSIS under interval-valued intuitionistic fuzzy uncertainty. Knowl Inf Syst 62, 1371–1391 (2020). https://doi.org/10.1007/s10115-019-01390-x

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Keywords

  • Interval-valued intuitionistic fuzzy sets (IVIFSs)
  • Multi-attributes group decision-making (MAGDM) problems
  • TODIM
  • WASPAS
  • TOPSIS
  • Objective and subjective weights
  • Last aggregation