On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Analytic properties of maximum entropy OWA operators
Information Sciences—Informatics and Computer Science: An International Journal
On obtaining minimal variability OWA operator weights
Fuzzy Sets and Systems - Theme: Multicriteria decision
An overview of methods for determining OWA weights: Research Articles
International Journal of Intelligent Systems
A minimax disparity approach for obtaining OWA operator weights
Information Sciences: an International Journal
Least-squared ordered weighted averaging operator weights: Research Articles
International Journal of Intelligent Systems
Multiattribute decision aid with extended ISMAUT
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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In the paper, we present a general method for obtaining the OWA operator weights via extreme point approach. The extreme points are determined by the intersection of an attitudinal character constraint and a fundamental ordered weight simplex. The extreme points are completely identified by a proposed algorithm and the OWA operator weights can be expressed by a convex combination of the identified extreme points. The parameterized OWA operator weights, located in a convex hull of the identified extreme points, can then be determined specifically by appropriately selecting a parameter which is the solution of a linear (or nonlinear) mathematical program. We compare the proposed method to well-established weights generating methods including the maximum entropy, the minimal variability, and the minimax disparity approach and further we present some new OWA weights generating methods.