NDLI: A Note on OWA Operator Based on the Normal Distribution

Content Provider	IEEE Xplore Digital Library
Author	Dai Min Zhai Xu-rui Chen Yun-xiang
Copyright Year	2007
Description	Author affiliation: Air Force Eng. Univ., Xian (Dai Min; Zhai Xu-rui; Chen Yun-xiang)
Abstract	The most important thing in using the OWA operator is to determine OWA weights. In this paper, we first discussed the OWA weights in depth based on the normal distribution from the results in Ref. 1. Then, we pointed out that the probability density function used in Ref. 1 was not a standard probability density of the normal distribution though the same results as us can be deduced from it. We redefined the weights based on the normal distribution, and explained that different standard deviation sigma could bring different aggregation result. Motivated by the idea of maximum entropy, we developed a new method by the satisfied entropy to determine the satisfied OWA weights based on the normal distribution, and proposed a conjecture about the relationship between the standard deviation sigma and the entropy of OWA weights. Finally we used an experiment to illustrate our viewpoint and compared the results with those in Ref. 1.
Starting Page	537
Ending Page	542
File Size	477634
Page Count	6
File Format	PDF
ISBN	9787560322780
DOI	10.1109/ICMSE.2007.4421902
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-08-20
Publisher Place	China
Access Restriction	Subscribed
Rights Holder	HARBIN INSTITUTE OF TEC
Subject Keyword	Smoothing methods OWA operator satisfied entropy Gaussian distribution Conference management Open wireless architecture Entropy weights Dispersion Engineering management Probability density function Random variables the normal distribution Standards development
Content Type	Text
Resource Type	Article

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