Making Discrete Sugeno Integrals More Discriminant

This paper deals with qualitative evaluation processes when the worth of items is computed by means of Sugeno integral. One limitation of this approach is the coarse ranking of items it produces. In order to refine this ranking, generalizations of leximin and leximax to Sugeno integrals are studied. Numerical encodings of such generalized lexicographic methods are described by means of mappings from the qualitative value scale to the reals. In some of these transformations Sugeno integral is changed into a Choquet integral. The issue of refining the capacity at work in Sugeno integral also receives a preliminary examination. This work relies on a previous similar attempt at refining prioritized minimum and maximum aggregations (in the setting of decision under uncertainty) into a so-called big-stepped weighted average, encoding a very refined qualitative lexicographic ordering of items.

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