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Symmetry 2017, 9(3), 43; doi:10.3390/sym9030043

Reference-Dependent Aggregation in Multi-AttributeGroup Decision-Making

School of Economics and Management, North China Electric Power University, Beijing 102206, China
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Received: 27 November 2016 / Revised: 12 March 2017 / Accepted: 13 March 2017 / Published: 16 March 2017
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Abstract

To characterize the influence of decision makers’ psychological factors on the group decisionprocess, this paper develops a new class of aggregation operators based on reference-dependentutility functions (RUs) in multi-attribute group decision analysis. We consider two types of RUs:S-shaped, representing decision makers who are risk-seeking for relative losses, and non-S-shaped,representing those that are risk-averse for relative losses. Based on these RUs, we establish twonew classes of reference-dependent aggregation operators; we study their properties and showthat their generality covers a number of existing aggregation operators. To determine the optimalweights for these aggregation operators, we construct an attribute deviation weight model and adecision maker (DM) deviation weight model. Furthermore, we develop a new multi-attribute groupdecision-making (MAGDM) approach based on these RU aggregation operators and weight models.Finally, numerical examples are given to illustrate the application of the approach.
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Keywords: group decision-making; decision analysis; aggregation operator; reference-dependent; utility theory group decision-making; decision analysis; aggregation operator; reference-dependent; utility theory
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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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Gao, J.; Liu, H. Reference-Dependent Aggregation in Multi-AttributeGroup Decision-Making
. Symmetry 2017, 9, 43.

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