Title :
Generalizations of OWA Operators
Author :
Mesiar, Radko ; Stupnanova, Andrea ; Yager, Ronald R.
Author_Institution :
Dept. of Math. & Descriptive Geometry, Slovak Univ. of Technol., Bratislava, Slovakia
Abstract :
OWA operators can be seen as symmetrized weighted arithmetic means, as Choquet integrals with respect to symmetric measures, or as comonotone additive functionals. Following these three different looks on OWAs, we discuss several already known generalizations of OWA operators, including GOWA, IOWA, OMA operators, as well as we propose new types of such generalizations.
Keywords :
arithmetic; integral equations; Choquet integrals; GOWA operators; IOWA operators; OMA operators; OWA operators generalizations; comonotone additive functionals; ordered weighted average operators; symmetric measures; symmetrized weighted arithmetic means; Additives; Boundary conditions; Educational institutions; Open wireless architecture; Standards; Vectors; Choquet integral; GOWA operator; OMA operator; OWA operator; comonotonicity; copula; generalized ordered weighted average (GOWA) operator; ordered modular average (OMA) operator; ordered weighted average (OWA) operator;
Journal_Title :
Fuzzy Systems, IEEE Transactions on
DOI :
10.1109/TFUZZ.2015.2406888
