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Symmetry 2017, 9(12), 289; https://doi.org/10.3390/sym9120289

A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making

1
College of Mathematics and Computer Science, Yan’an University, Yan’an 716000, Shaanxi, China
2
Center for Radio Administration & Technology Development, Xihua University, Chengdu 610039, Sichuan, China
*
Author to whom correspondence should be addressed.
Received: 3 November 2017 / Revised: 17 November 2017 / Accepted: 21 November 2017 / Published: 23 November 2017
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Abstract

Hesitant fuzzy linguistic decision making is a focus point in linguistic decision making, in which the main method is based on preference ordering. This paper develops a new hesitant fuzzy linguistic TOPSIS method for group multi-criteria linguistic decision making; the method is inspired by the TOPSIS method and the preference degree between two hesitant fuzzy linguistic term sets (HFLTSs). To this end, we first use the preference degree to define a pseudo-distance between two HFLTSs and analyze its properties. Then we present the positive (optimistic) and negative (pessimistic) information of each criterion provided by each decision maker and aggregate these by using weights of decision makers to obtain the hesitant fuzzy linguistic positive and negative ideal solutions. On the basis of the proposed pseudo-distance, we finally obtain the positive (negative) ideal separation matrix and a new relative closeness degree to rank alternatives. We also design an algorithm based on the provided method to carry out hesitant fuzzy linguistic decision making. An illustrative example shows the elaboration of the proposed method and comparison with the symbolic aggregation-based method, the hesitant fuzzy linguistic TOPSIS method and the hesitant fuzzy linguistic VIKOR method; it seems that the proposed method is a useful and alternative decision-making method. View Full-Text
Keywords: group multi-criteria decision making; the TOPSIS method; hesitant fuzzy linguistic term set; pseudo-distance; aggregation operator group multi-criteria decision making; the TOPSIS method; hesitant fuzzy linguistic term set; pseudo-distance; aggregation operator
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Ren, F.; Kong, M.; Pei, Z. A New Hesitant Fuzzy Linguistic TOPSIS Method for Group Multi-Criteria Linguistic Decision Making. Symmetry 2017, 9, 289.

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