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.
Symmetry 2017, 9(3), 43; https://doi.org/10.3390/sym9030043
Received: 27 November 2016 / Revised: 12 March 2017 / Accepted: 13 March 2017 / Published: 16 March 2017
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.
View Full-Text
View Full-Text
Keywords:
group decision-making; decision analysis; aggregation operator; reference-dependent; utility theory
▼
Show Figures
Figure 1
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
MDPI and ACS Style
Gao, J.; Liu, H. Reference-Dependent Aggregation in Multi-AttributeGroup Decision-Making
. Symmetry 2017, 9, 43.
AMA Style
Gao J, Liu H. Reference-Dependent Aggregation in Multi-AttributeGroup Decision-Making
. Symmetry. 2017; 9(3):43.
Gao, Jianwei; Liu, Huihui. 2017. "Reference-Dependent Aggregation in Multi-AttributeGroup Decision-Making
" Symmetry 9, no. 3: 43.
Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.
Search more from Scilit
