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ELECTRE-Based Outranking Method for Multi-criteria Decision Making Using Hesitant Intuitionistic Fuzzy Linguistic Term Sets

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Abstract

An outranking method is developed within the environment of hesitant intuitionistic fuzzy linguistic term sets (HIFLTSs), where the membership degree and the non-membership degree of the element are subsets of linguistic term set. The directional Hausdorff distance, which uses HIFLTSs, is proposed, and the dominance relations are subsequently defined using this distance. Moreover, some interesting characteristics of the proposed directional Hausdorff distance are further discussed in detail. In this context, a collective decision matrix is obtained in the form of hesitant intuitionistic fuzzy linguistic elements and analyzes the collective data by using proposed ELECTRE-based outranking method. The linguistic scale functions are employed in this paper to conduct the transformation between qualitative information and quantitative data. Furthermore, based on the proposed method, we also investigate the ranking of the alternatives based on a new proposed definition of HIFLTS. The feasibility and applicability of the proposed method are illustrated with an example, and a comparative analysis is performed with other approaches to validate the effectiveness of the proposed methodology.

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Acknowledgements

The authors would like to thank the editors and the anonymous reviewers, whose insightful comments and constructive suggestions helped us to significantly improve the quality of this paper.

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Authors and Affiliations

  1. Department of Mathematics, University of Management and Technology, Lahore, 54770, Pakistan

    Tabasam Rashid, Shahzad Faizi & Sohail Zafar

  2. Business School, Sichuan University, Chengdu, 610064, People’s Republic of China

    Zeshui Xu

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  1. Tabasam Rashid
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  2. Shahzad Faizi
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  3. Zeshui Xu
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  4. Sohail Zafar
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Correspondence to Tabasam Rashid.

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Rashid, T., Faizi, S., Xu, Z. et al. ELECTRE-Based Outranking Method for Multi-criteria Decision Making Using Hesitant Intuitionistic Fuzzy Linguistic Term Sets. Int. J. Fuzzy Syst. 20, 78–92 (2018). https://doi.org/10.1007/s40815-017-0297-y

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