4.7 Article

Elliptical distribution-based weight-determining method for ordered weighted averaging operators

Journal

INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Volume 34, Issue 5, Pages 858-877

Publisher

WILEY
DOI: 10.1002/int.22078

Keywords

dual ordered weighted averaging operator; elliptical distribution; Gaussian distribution; linguistic quantifier; ordered weighted averaging operator; regular increasing monotone quantifier

Funding

  1. National Natural Science Foundation of China [11171179, 11571198, 61273209]

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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.

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