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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.

http://dx.doi.org/10.1016/j.fss.2010.06.001

Abstract:

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:

@ARTICLE{jFuMeVa11a,
  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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