Fast Computation of Centroids for Constant-Width Interval-Valued Fuzzy Sets

Interval-valued fuzzy sets provide a more adequate description of uncertainty than traditional fuzzy sets; it is therefore important to use interval-valued fuzzy sets in applications. One of the main applications of fuzzy sets is fuzzy control, and one of the most computationally intensive part of fuzzy control is defuzzification. Since a transition to interval-valued fuzzy sets usually increases the amount of computations, it is vitally important to design faster algorithms for the corresponding defuzzification. In this paper, we provide such an algorithm for a practically important case of constant-width interval-valued fuzzy sets