The methods of construction of non-statistical association measures on the sets with involution operation and similarity measure are proposed. The Pearson’s correlation coefficient is obtained as a particular case of the class of association measures associated with Lukasiewicz t-conorm. Examples of association measures on [0, 1] and on the set of fuzzy sets are considered.
CITATION STYLE
Batyrshin, I. (2016). Association measures on sets with involution and similarity measure. Studies in Fuzziness and Soft Computing, 342, 221–237. https://doi.org/10.1007/978-3-319-32229-2_16
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