期刊
FUZZY SETS AND SYSTEMS
卷 128, 期 2, 页码 267-275出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0165-0114(01)00199-3
关键词
fuzzy sets; correlation; nonlinear programming
Correlation coefficient of random variables has wide applications in statistical analysis. This paper extends the applications to fuzzy environment, with a methodology for calculating the correlation coefficient of fuzzy numbers developed. Different from previous studies, the correlation coefficient calculated in this paper is a fuzzy number, rather than a crisp value. The idea is based on Zadeh's extension principle. A pair of nonlinear programs is formulated to find the alpha-cut of the fuzzy correlation coefficient. From different values of alpha, the membership function of the fuzzy correlation coefficient is constructed. To illustrate how to interpret the fuzzy correlation coefficient in real world applications, the correlation between the technology level and management achievement from a sample of 15 machinery firms in Taiwan is exemplified. All indications show that the correlation between technology and management in Taiwan machinery firms is rather low. (C) 2002 Elsevier Science B.V. All rights reserved.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据