Measures of association of plausible events

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.