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http://dx.doi.org/10.5391/IJFIS.2009.9.1.001

A Note on Possibilistic Correlation  

Hong, Dug-Hun (Department of Mathematics, Myongji University)
Publication Information
International Journal of Fuzzy Logic and Intelligent Systems / v.9, no.1, 2009 , pp. 1-3 More about this Journal
Abstract
Recently, Carlsson, Full\acute{e}$r and Majlender [1] presented the concept of possibilitic correlation representing an average degree of interaction between marginal distribution of a joint possibility distribution as compared to their respective dispersions. They also formulated the weak and strong forms of the possibilistic Cauchy-Schwarz inequality. In this paper, we define a new probability measure. Then the weak and strong forms of the Cauchy-Schwarz inequality are immediate consequence of probabilistic Cauchy-Schwarz inequality with respect to the new probability measure.
Keywords
Possibilistic distribution; density function; Variance; Covariance; Cauchy-Schwarz inequality;
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