### 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 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 language | English |
---|---|

Pages (from-to) | 50-60 |

Number of pages | 11 |

Journal | Fuzzy Sets and Systems |

Volume | 165 |

Issue number | 1 |

DOIs | |

Publication status | Published - Feb 16 2011 |

### Keywords

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

### ASJC Scopus subject areas

- Logic
- Artificial Intelligence

## Fingerprint Dive into the research topics of 'An improved index of interactivity for fuzzy numbers'. Together they form a unique fingerprint.

## Cite this

*Fuzzy Sets and Systems*,

*165*(1), 50-60. https://doi.org/10.1016/j.fss.2010.06.001