An improved index of interactivity for fuzzy numbers

作者：Fuller Robert^*; Mezei Jozsef; Varlaki Peter

来源：Fuzzy Sets and Systems, 2011, 165(1): 50-60.

DOI：10.1016/j.fss.2010.06.001

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

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 gamma-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 gamma-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.

• 出版日期2011-2-16