Constructing non-statistical association measures on the sets with involution and similarity measure

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The methods of construction of functions satisfying the properties similar to the properties of the Pearson's correlation coefficient are discussed. Such functions can be constructed on the sets with involution and similarity measure using pseudo-difference operations associated to t-conorms. The Pearson's correlation coefficient can be obtained as a particular case of the general approach using pseudo-difference operation associated to Lukasiewicz t-conorm and Euclidean metric. The association measures on [0,1], on the set of fuzzy sets, on the sets of n-tuples and time series are considered.

Original languageEnglish
Title of host publicationCINTI 2015 - 16th IEEE International Symposium on Computational Intelligence and Informatics, Proceedings
EditorsAniko Szakal
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages23-28
Number of pages6
ISBN (Electronic)9781467385206
DOIs
StatePublished - 13 Jan 2016
Event16th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2015 - Budapest, Hungary
Duration: 19 Nov 201521 Nov 2015

Publication series

NameCINTI 2015 - 16th IEEE International Symposium on Computational Intelligence and Informatics, Proceedings

Conference

Conference16th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2015
Country/TerritoryHungary
CityBudapest
Period19/11/1521/11/15

Keywords

  • association measure
  • correlation coefficient
  • pseudo-difference
  • similarity measure
  • t-conorm

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