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Developing a straightforward approach for group decision making based on determining weights of decision makers

Authors :
Yue, Zhongliang
Source :
Applied Mathematical Modelling. Sep2012, Vol. 36 Issue 9, p4106-4117. 12p.
Publication Year :
2012

Abstract

Abstract: Group decision making is an active area of research within multiple attribute decision making. This paper assumes that all the decision makers (DMs) are not equally qualified to contribute equitably to the decision process. The aim of this paper is to develop an approach to determine weights of DMs, in which the decision information on alternatives with respect to attributes, provided by each DM, is represented in the form of interval data. We define the average of all individual decisions as the positive ideal decision (PID), and the maximum separation from PID as the negative ideal decision, which are characterized by a matrix, respectively. The weight of each DM is determined according to the Euclidean distances between the individual decision and ideal decisions. By using the obtained weights of DMs, all individual decisions are aggregated into a collective decision. Then the alternatives is ranked based on the collective decision. Meanwhile, this paper also gives a humanized decision method by using an optimistic coefficient, which is used in adjusting the relative importance between profit and risk. Finally, we give an example to illustrate the developed approach. [Copyright &y& Elsevier]

Details

Language :
English
ISSN :
0307904X
Volume :
36
Issue :
9
Database :
Academic Search Index
Journal :
Applied Mathematical Modelling
Publication Type :
Academic Journal
Accession number :
75355815
Full Text :
https://doi.org/10.1016/j.apm.2011.11.041