Speaker: Prof. Vicenç Torra, Hamilton Institute / Maynooth University Department of Computer Science
Title: "Non-additive measures and integrals"
Abstract: Non-additive measures, also known as fuzzy measures and capacities,
generalize additive ones. Formally, they are set functions that replace
the additivity condition of classical measures by a monotonicity
condition. Examples of these measures include distorted probabilities,
belief and possibility measures. Choquet (1954) and Sugeno (1972)
introduced integrals that permit to integrate a function with respect to
these measures. In this talk I will review these concepts and present some
of our results in this area. They include the definition of f-divergence
and Hellinger distance for this type of measures.
[1] D. Denneberg (1994) Non additive measure and Integral. Kluwer Academic
Publishers.
[2] V. Torra, Y. Narukawa, M. Sugeno (eds.) (2014) Non-additive measures,
Springer.