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An argument-dependent approach to determining OWA operator weights based on the rule of maximum entropy

✍ Scribed by Jian Wu; Chang-yong Liang; Yong-qing Huang


Publisher
John Wiley and Sons
Year
2006
Tongue
English
Weight
118 KB
Volume
22
Category
Article
ISSN
0884-8173

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✦ Synopsis


The methods for determining OWA operator weights have aroused wide attention. We first review the main existing methods for determining OWA operator weights. We next introduce the principle of maximum entropy for setting up probability distributions on the basis of partial knowledge and prove that Xu's normal distribution-based method obeys the principle of maximum entropy. Finally, we propose an argument-dependent approach based on normal distribution, which assigns very low weights to these "false" or "biased" opinions and can relieve the influence of the unfair arguments. A numerical example is provided to illustrate the application of the proposed approach.