Abstract.This paper presents the construction of a new kind of eva-luators, which are studied on a vector lattice. In particular, by using an important identity on a vector lattice, we prove a characterization of su-permodular property and we construct supermodular evaluators, brie°y namedSM-evaluators. Then in a particular lattice SM-evaluators be-comeaggregation functions. Similarly we construct ultramodular evalu-ators, brie°y namedUM-evaluators.
Supermodular and ultramodular aggregations evaluators
CARDIN, Marta
2009-01-01
Abstract
Abstract.This paper presents the construction of a new kind of eva-luators, which are studied on a vector lattice. In particular, by using an important identity on a vector lattice, we prove a characterization of su-permodular property and we construct supermodular evaluators, brie°y namedSM-evaluators. Then in a particular lattice SM-evaluators be-comeaggregation functions. Similarly we construct ultramodular evalu-ators, brie°y namedUM-evaluators.
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