Journal
INFORMATION SCIENCES
Volume 181, Issue 1, Pages 150-162Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2010.08.002
Keywords
Group decision making; Fuzzy preference relation; Multiplicative preference relation; Goal programming model; Quadratic programming; Iterative algorithm
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Funding
- National Science Fund for Distinguished Young Scholars of China [70625005]
- National Natural Science Foundation of China [71071161, 70932005]
- Research Grants Council of Hong Kong [410208]
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In many group decision-making situations, decision makers' preferences for alternatives are expressed in preference relations (including fuzzy preference relations and multiplicative preference relations). An important step in the process of aggregating preference relations, is to determine the importance weight of each preference relation. In this paper, we develop a number of goal programming models and quadratic programming models based on the idea of maximizing group consensus. Our models can be used to derive the importance weights of fuzzy preference relations and multiplicative preference relations. We further develop iterative algorithms for reaching acceptable levels of consensus in group decision making based on fuzzy preference relations or multiplicative preference relations. Finally, we include an illustrative example. (C) 2010 Published by Elsevier Inc.
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