Abstract
The concept of association measure generalizing the Pearson correlation coefficient is introduced. The methods of generation of association measures by means of pseudo-difference associated to some t-conorm and by similarity measures are proposed. The association measure can be introduced on any set with involutive reflection operation and suitably defined similarity measure. The methods of construction of association measures by Minkowski metric and data standardization using the aggregation functions are considered. The cosine similarity and the Pearson’s correlation coefficient are obtained as partial cases of the proposed general methods.
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Batyrshin, I. (2013). Association Measures and Aggregation Functions. In: Castro, F., Gelbukh, A., González, M. (eds) Advances in Soft Computing and Its Applications. MICAI 2013. Lecture Notes in Computer Science(), vol 8266. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45111-9_17
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DOI: https://doi.org/10.1007/978-3-642-45111-9_17
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-45110-2
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