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Symmetry 2017, 9(3), 43;

Reference-Dependent Aggregation in Multi-AttributeGroup Decision-Making

School of Economics and Management, North China Electric Power University, Beijing 102206, China
Author to whom correspondence should be addressed.
Received: 27 November 2016 / Revised: 12 March 2017 / Accepted: 13 March 2017 / Published: 16 March 2017
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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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Gao, J.; Liu, H. Reference-Dependent Aggregation in Multi-AttributeGroup Decision-Making
. Symmetry 2017, 9, 43.

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