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An Improved Index of Interactivity for Fuzzy Numbers

Robert Fullér, József Mezei, Péter Várlaki, An Improved Index of Interactivity for Fuzzy Numbers. Fuzzy Sets and Systems 165, 50–60, 2011.



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 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 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.

BibTeX entry:

  title = {An Improved Index of Interactivity for Fuzzy Numbers},
  author = {Fullér, Robert and Mezei, József and Várlaki, Péter},
  journal = {Fuzzy Sets and Systems},
  volume = {165},
  pages = {50–60},
  year = {2011},
  keywords = {Possibility distribution; Interactive fuzzy numbers; Possibilistic correlation; Uniform probability distribution},

Belongs to TUCS Research Unit(s): Institute for Advanced Management Systems Research (IAMSR)

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