A note on the correlation of fuzzy numbers by expected interval

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Title:	A note on the correlation of fuzzy numbers by expected interval
Authors:	Hung, Wen-liang;吳忠武;Wu, Jong-wuu
Contributors:	淡江大學統計學系
Keywords:	Correlation coefficient;expected interval;fuzzy number;interval-valued fuzzy number
Date:	2001-08
Issue Date:	2009-11-30 12:56:49 (UTC+8)
Publisher:	World Scientific Publishing
Abstract:	In this paper, we propose a method to calculate the correlation coefficient of fuzzy numbers by means of "expected interval" (see [8], [9]). This value obtained from our formula tell 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 "expected interval" 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.
Relation:	International journal of uncertainty, fuzziness and knowledge-based systems 9(4), pp.517-523
DOI:	10.1142/S0218488501000922
Appears in Collections:	[Graduate Institute & Department of Statistics] Journal Article

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