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Symmetry 2017, 9(12), 320; https://doi.org/10.3390/sym9120320

Probabilistic Linguistic Power Aggregation Operators for Multi-Criteria Group Decision Making

1
School of Management and Economics, University of Electronic Science and Technology of China, Chengdu 610054, China
2
Center for West African Studies, University of Electronic Science and Technology of China, Chengdu 610054, China
*
Author to whom correspondence should be addressed.
Received: 4 November 2017 / Revised: 13 December 2017 / Accepted: 13 December 2017 / Published: 19 December 2017
(This article belongs to the Special Issue Fuzzy Techniques for Decision Making)
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Abstract

As an effective aggregation tool, power average (PA) allows the input arguments being aggregated to support and reinforce each other, which provides more versatility in the information aggregation process. Under the probabilistic linguistic term environment, we deeply investigate the new power aggregation (PA) operators for fusing the probabilistic linguistic term sets (PLTSs). In this paper, we firstly develop the probabilistic linguistic power average (PLPA), the weighted probabilistic linguistic power average (WPLPA) operators, the probabilistic linguistic power geometric (PLPG) and the weighted probabilistic linguistic power geometric (WPLPG) operators. At the same time, we carefully analyze the properties of these new aggregation operators. With the aid of the WPLPA and WPLPG operators, we further design the approaches for the application of multi-criteria group decision-making (MCGDM) with PLTSs. Finally, we use an illustrated example to expound our proposed methods and verify their performances. View Full-Text
Keywords: power average operator; probabilistic linguistic term sets; multi-criteria decision making; group decision making power average operator; probabilistic linguistic term sets; multi-criteria decision making; group decision making
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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Kobina, A.; Liang, D.; He, X. Probabilistic Linguistic Power Aggregation Operators for Multi-Criteria Group Decision Making. Symmetry 2017, 9, 320.

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