CORRELATION OF FUZZY NUMBERS BY α-CUT METHOD

WEN-LIANG HUNG; JONG-WUU WU

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CORRELATION OF FUZZY NUMBERS BY α-CUT METHOD

机译：用α-CUT法对模糊数进行相关

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摘要

In this paper, we propose a method to calculate the correlation coefficient of fuzzy numbers by means of "α-cut". This value obtained from our formula tells us not only the strength of relationship between the fuzzy numbers, but also whether the fuzzy numbers are positively or negatively related. This approach looks better than previous methods which only evaluate the strength of the relation. Furthermore, we extend the "α-cut" method to interval-valued fuzzy numbers. The value of the correlation coefficient between interval-valued fuzzy numbers lies in the interval [-1,1], as computed from our formula.

机译：本文提出了一种通过“α割”计算模糊数相关系数的方法。从公式中获得的值不仅告诉我们模糊数之间的关系强度，而且还告诉我们模糊数是正相关还是负相关。这种方法看起来比以前仅评估关系强度的方法更好。此外，我们将“α-割”方法扩展到区间值模糊数。根据我们的公式计算，区间值模糊数之间的相关系数的值位于区间[-1,1]中。

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来源
《International Journal of Uncertainty, Fuzziness, and Knowledge-based Systems》 |2002年第6期|p.725-735|共11页
作者
WEN-LIANG HUNG; JONG-WUU WU;
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作者单位

Department of Mathematics Education, National Hsinchu Teachers College, Hsin-Chu, Taiwan, R.O.C.;

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原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
α-cut; correlation coefficient; fuzzy number; interval-valued fuzzy number;

机译：α切;相关系数模糊数区间值模糊数;

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CORRELATION OF FUZZY NUMBERS BY α-CUT METHOD

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