A modified VIKOR method for group decision-making based on aggregation operators for hesitant intuitionistic fuzzy linguistic term sets

The methodology of managing hesitancy situations is improving step by step with new basics and tools which have their specific characteristics. As a rule, aggregation operators can undoubtedly deal with the data in a definite way. Employing hesitant intuitionistic fuzzy linguistic term sets (HIFLTSs), the adaptability in creating assessment data under uncertainty can be accomplished to a bigger degree than either intuitionistic linguistic sets or hesitant fuzzy linguistic term sets do. In this view, this paper provides a multi-criteria group decision-making (MCGDM) method based on new aggregation operators for HIFLTSs and the proposed modified VIKOR method. Besides, some operational laws for HIFLTSs are studied with their important properties, which is followed by the definitions of some aggregation operators, including the hesitant intuitionistic fuzzy linguistic weighted averaging (HIFLWA) operator and the hesitant intuitionistic fuzzy linguistic weighted geometric (HIFLWG) operator. The hesitant intuitionistic fuzzy linguistic individual regret (HIFLIR) measure and hesitant intuitionistic fuzzy linguistic compromise (HIFLC) measure are established with the help of hesitant intuitionistic fuzzy group utility measure. After that, by using the proposed aggregation operators, we develop a modified VIKOR method in the context of HIFLTSs. The outcome of this research is ranking and selecting of best alternative with the help of modified VIKOR method based on aggregation operators for HIFLTSs. A numerical problem is provided to verify the proposed approach, and its accuracy and effectiveness have been demonstrated through the comparative analysis of the modified VIKOR method with the TOPSIS method for the selection of the best alternative. This research study showed that the proposed approach can describe the fuzziness and uncertainty of experts more relevantly and the ranking results calculated with the modified VIKOR method are effective and reliable.

Automated summary

This paper presents a multi-criteria group decision-making (MCGDM) method and a modified VIKOR method based on hesitant intuitionistic fuzzy linguistic term sets (HIFLTSs). The study also explores operational laws and aggregation operators for HIFLTSs. The research demonstrates that the proposed methods can accurately describe the fuzziness and uncertainty of experts, and provide effective and reliable ranking results.