Aggregating membership values by a Choquet-fuzzy-integral based operator

A new type of aggregator, the Choquet-fuzzy-integral based operator, is introduced and applied in aggregation of membership values. In this paper, we generalized the definition of the fuzzy integral as a tool for membership aggregation. The generalization involves replacing the max (or min) operator in information integration with a Choquet-fuzzy-integral based aggregator, resulting in increased flexibility. The characteristics of the Choquet fuzzy integral are studied and a two-phase aggregating process is proposed. Also, we demonstrate a good classification result using the proposed aggregator to integrate the memberships of several clusters in a complex unconstrained handwritten digit recognition domain.