Title :
The Ordered Modular Averages
Author :
Radko Mesiar;Andrea Mesiarova-Zem?nkov?
Author_Institution :
Institute for Research and Application of Fuzzy Modelling, University of Ostrava, Ostrava, Czech Republic
Abstract :
Ordered modular averages (OMAs) generalize ordered weighted averages operators, with the replacement of the additivity property by the modularity. OMAs can be seen as a symmetrized idempotent modular aggregation functions, characterized by comonotone modularity. Each OMA can be seen also as a copula-based integral with respect to a symmetric capacity. Special OMAs are characterized, such as associative operators, operators with neutral element, or operators with an annihilator. Some construction methods for OMAs are also discussed.
Keywords :
"Open wireless architecture","Additives","Kernel","Chebyshev approximation","Construction industry","Mathematical model","Stochastic processes"
Journal_Title :
IEEE Transactions on Fuzzy Systems
DOI :
10.1109/TFUZZ.2010.2077641
