This paper presents the construction of a new kind of evaluators, which are studied on a vector lattice. In particular, by using an important identity on a vector lattice, we prove a characterization of supermodular property and we construct supermodular evaluators, briefly named SM-evaluators. Then in a particular lattice SM-evaluators become aggregation functions. Similarly we construct ultramodular evaluators, briefly named UM-evaluators.
Supermodular and ultramodular aggregation evaluators
MANZI, MADDALENA
2009-01-01
Abstract
This paper presents the construction of a new kind of evaluators, which are studied on a vector lattice. In particular, by using an important identity on a vector lattice, we prove a characterization of supermodular property and we construct supermodular evaluators, briefly named SM-evaluators. Then in a particular lattice SM-evaluators become aggregation functions. Similarly we construct ultramodular evaluators, briefly named UM-evaluators.File in questo prodotto:
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