Super- and sub-additive transformations of aggregation functions are defined by means of suprema and infima ranging over simplices with potentially unbounded dimension. Determination of exact values… Expand

The problem of finding “simultaneous maxima” of a family of real functions fi (1 ≤ i ≤ m) over a set X is well known as multicriteria optimization problem.Expand

Abstract In this paper, some transformations of fuzzy measures are reviewed. Then, based on them, two new transformations are introduced and their properties are investigated. Also, some examples are… Expand

In this paper, we present an approach to data aggregation based on a generalization of the discrete Choquet integral by means of fusion functions. Inspired by \cite{MKB}, we merge information… Expand

Aggregation functions and their transformations have found numerous applications in various kinds of systems as well as in economics and social science.Expand

We prove that if A ⁎ has a slightly stronger property of being strictly directionally convex, then A = A ⍎ and A ⌎ is linear; dually, we prove that A ↦ A ⎎ is also linear.Expand

We introduce two construction methods for aggregation functions based on a restricted a priori known decomposition set and decomposition weighing function are introduced and studied.Expand