Association measures on [0,1]

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Abstract

The paper studies the functions defined on [0,1] by axioms similar to the properties of the correlation coefficient. The methods of generation of such functions by means of strong negations, similarity measures and pseudo-difference operations associated to t-conorms are proposed. The considered non-statistical association measures can be used in definition of association (or correlation) measures of fuzzy sets, in measuring associations in fuzzy inference and probabilistic reasoning.

Original languageEnglish
Pages (from-to)1011-1020
Number of pages10
JournalJournal of Intelligent and Fuzzy Systems
Volume29
Issue number3
DOIs
StatePublished - 7 Oct 2015

Keywords

  • Association measure
  • correlation
  • fuzzy logic
  • involution
  • pseudo-difference
  • similarity measure
  • strong negation
  • t-conorm

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