Abstract
In this paper we introduce alternative definitions for the measure of interactivity between fuzzy numbers by defining non-uniform probability distributions on the γ-level sets (γ-cuts) of their joint possibility distribution. These probability distributions are determined by the shape function of the joint possibility distribution if we consider this as a probability density function (with an appropriate constant multiplier), so we use only the information contained in the joint possibility distribution. We also show some detailed examples for the calculation when the joint possibility distributions are defined by well-known t-norms, such as Mamdani, Lukasiewicz and Larsen t-norms.
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