Measures of association of plausible events

I. Z. Batyrshin

Centro de Investigacion en Computacion, Instituto Politecnico Nacional, Mexico

Abstract: The paper considers the general methods of construction of non-statistical association measures on a set with given involutive operation. The measure of association is defined as a function satisfying the properties of the Pearson’s correlation coefficient. The methods of construction of association measures on $[0,1]$ with generators of involutive negations are proposed. The examples of association measures on $[0,1]$ obtained by means of generators of Yager negation and pseudo-difference operations associated to basic t-conorms are considered.

Keywords: association measure, correlation coefficient, fuzzy negation, involution, similarity measure, $t$-conorm.

UDC: 004.8

Received: 19.01.2015
Revised: 22.01.2015

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