On definition and construction of association measures
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Prof. Ildar Batyrshin |
Center for Computing Research, National Polytechnic Institute of Mexico, Mexico |
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In this talk the theoretical bases of constructing association measures on different domains will be discussed. An association measure is considered as a function defined on a set X with involutive operation and satisfying a set of axioms. The general methods of construction of such functions related with t-conorms and similarity measures defined on X are considered. It is shown that a sample correlation coefficient can be obtained by these methods as a specific case. The methods of constructing association measures on different domains are considered. The examples of association measures on the sets of time series, fuzzy sets, etc. are discussed.) |
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