Quantitative orness for lattice OWA operators

• We propose an orness measure for OWA operators defined on any complete lattice.
• Our parametrization satisfies local conditions imposed to orness measures.
• Result of a decision-making problem can be analyzed using our quantitative measure.
• The effect of several OWA operators in image reduction and denoising is also analyzed.

This paper deals with OWA (ordered weighted average) operators defined on any complete lattice endowed with a t-norm and a t-conorm and satisfying a certain finiteness local condition. A parametrization of these operators is suggested by introducing a quantitative orness measure for each OWA operator, based on its proximity to the OR operator. The meaning of this measure is analyzed for some concrete OWA operators used in color image reduction, as well as for some OWA operators used in a medical decision making process.