Answers are grounded in this paper and cite their sources.
We study the properties of OWA multiplication monoid. By introducing and-accumulation vectors of OWA operators, we consider the set of all n-dimensional OWA operators as a lattice. Then, we analyze some monotonicity properties of OWA operators based on an ordering induced by and-accumulation vectors. We also show that the lattice-theoretical operations are a kind of counterpart of the OWA multiplication monoid (and its dual, additive monoid). An example of using the OWA multiplication monoid and the lattice-theoretical structure in decision making problem is provided.
No takes yet. Share an insight, caveat, or question.
Jin et al. (2017) studied this question.
Synapse has enriched 10 related papers. Consider them for comparative context: