1. Some Characterizations of Lattice OWA Operators.
- Author
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De Miguel, Laura, Paternain, Daniel, Lizasoain, Inmaculada, Ochoa, Gustavo, and Bustince, Humberto
- Subjects
IMAGE processing ,DECISION making ,SURVEYS ,PAPER analysis ,LATTICE constants - Abstract
Ordered Weighted Averaging (OWA) operators are a family of aggregation functions for data fusion. If the data are real numbers, then OWA operators can be characterized either as a special kind of discrete Choquet integral or simply as an arithmetic mean of the given values previously ordered. This paper analyzes the possible generalizations of these characterizations when OWA operators are defined on a complete lattice. In addition, the set of all n-ary OWA operators is studied as a sublattice of the lattice of all the n-ary aggregation functions defined on a distributive lattice. [ABSTRACT FROM AUTHOR]
- Published
- 2017
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