Keynote: From the Extensions of Choquet and Sugeno Integrals and Their Applications to Classification, Image Processing and the Computational Brain Problems to d-Choquet Integrals

In this talk we will make a revision of recent extensions of the notions
of Choquet and Sugeno integral. In particular, we will show how we can
modify the original definition of Choquet and Sugeno integral by
considering general operations. Such generalizations will led us out from
the scope of usual aggregation functions, to recover more general methods
of fusion of information, such as pre-aggregation functions. We will show
the usefulness of our developments by considering applications in fields
such as image processing and classification. We will also discuss how
these extensions provide very good results in the problem of identifying
whether a subject is thinking on moving the right or the left hand, taking
into account the signals of the EEG. Finally, we will also comment another
possible generalization of the Choquet integral, called d-Choquet
integrals, and its possible applications in decision making.