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Elliptical distribution‐based weight‐determining method for ordered weighted averaging operators
Author(s) -
Sha Xiuyan,
Xu Zeshui,
Yin Chuancun
Publication year - 2019
Publication title -
international journal of intelligent systems
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.291
H-Index - 87
eISSN - 1098-111X
pISSN - 0884-8173
DOI - 10.1002/int.22078
Subject(s) - monotone polygon , mathematics , weighted arithmetic mean , monotonic function , distribution (mathematics) , point (geometry) , key (lock) , mathematical optimization , quantifier (linguistics) , algorithm , computer science , artificial intelligence , statistics , mathematical analysis , geometry , computer security
The ordered weighted averaging (OWA) operators play a crucial role in aggregating multiple criteria evaluations into an overall assessment supporting the decision makers’ choice. One key point steps is to determine the associated weights. In this paper, we first briefly review some main methods for determining the weights by using distribution functions. Then we propose a new approach for determining OWA weights by using the regular increasing monotone quantifier. Motivated by the idea of normal distribution‐based method to determine the OWA weights, we develop a method based on elliptical distributions for determining the OWA weights, and some of its desirable properties have been investigated.