An improved index of interactivity for fuzzy numbers

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19 Citations (Scopus)


In this paper we will introduce a new index of interactivity between marginal possibility distributions A and B of a joint possibility distribution C. The starting point of our approach is to equip each γ-level set of C with a uniform probability distribution, then the probabilistic correlation coefficient between its marginal probability distributions is interpreted as an index of interactivity between the γ-level sets of A and B. Then we define the index of interactivity between A and B as the weighted average of these indexes over the set of all membership grades. This new index of interactivity is meaningful for the whole family of joint possibility distributions.

Original languageEnglish
Pages (from-to)50-60
Number of pages11
JournalFuzzy Sets and Systems
Issue number1
Publication statusPublished - Feb 16 2011


  • Interactive fuzzy numbers
  • Possibilistic correlation
  • Possibility distribution
  • Uniform probability distribution

ASJC Scopus subject areas

  • Logic
  • Artificial Intelligence

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