Generalizations and variants of associativity for aggregation functions

of some noteworthy classes of associative ε-standard operations, such as the class of variadic extensions of Acz´ elian semigroups, the class of variadic extensions of t- norms

Jean-Luc Marichal Bruno Teheux. University

The so-called discrete Sugeno integrals are exactly those lattice polynomial functions which are idempotent (i.e., f (x,.. Otherwise, it is said to

Non-decreasing multilinear polynomial functions These are those multilinear polynomials that have non-decreasing unary sections. It is UM-characterized inside a pivotally

Erkko Lehtonen (∗) Jean-Luc Marichal (∗∗) Bruno Teheux (∗∗).. (∗) University of Lisbon (∗∗) University

Mathematics Research Unit, FSTC, University of Luxembourg, 6, rue Coudenhove- Kalergi, L-1359 Luxembourg-Kirchberg, Luxembourg. E-mail

Der Satz vom arithmetischen Mittel in axiomatischer

In particular, in Section 2 we showed that certain restrictions on the length of the string variables induce strict hierarchies of nested classes whose intersections reduce to