On ordered weighted averaging aggregation operators in multicriteria decisionmaking
IEEE Transactions on Systems, Man and Cybernetics
Fuzzy Sets and Systems
Analytic properties of maximum entropy OWA operators
Information Sciences—Informatics and Computer Science: An International Journal
On the issue of obtaining OWA operator weights
Fuzzy Sets and Systems
An analytic approach for obtaining maximal entropy OWA operator weights
Fuzzy Sets and Systems
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
Soft Computing - A Fusion of Foundations, Methodologies and Applications
Preference relation approach for obtaining OWA operators weights
International Journal of Approximate Reasoning
Least-squared ordered weighted averaging operator weights: Research Articles
International Journal of Intelligent Systems
Orness and parameterized RIM quantifier aggregation with OWA operators: A summary
International Journal of Approximate Reasoning
A general model of parameterized OWA aggregation with given orness level
International Journal of Approximate Reasoning
On efficient WOWA optimization for decision support under risk
International Journal of Approximate Reasoning
On generalized Bonferroni mean operators for multi-criteria aggregation
International Journal of Approximate Reasoning
Weighted maximum entropy OWA aggregation with applications to decision making under risk
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Some properties of the weighted OWA operator
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Some Quantifier Functions From Weighting Functions With Constant Value of Orness
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
Multiattribute decision aid with extended ISMAUT
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
Paper: Rating and ranking of multiple-aspect alternatives using fuzzy sets
Automatica (Journal of IFAC)
On the properties of OWA operator weights functions with constant level of orness
IEEE Transactions on Fuzzy Systems
The OWA Aggregation With Uncertain Descriptions on Weights and Input Arguments
IEEE Transactions on Fuzzy Systems
Hesitant fuzzy information aggregation in decision making
International Journal of Approximate Reasoning
Parametric aggregation in ordered weighted averaging
International Journal of Approximate Reasoning
International Journal of Approximate Reasoning
On distorted probabilities and m-separable fuzzy measures
International Journal of Approximate Reasoning
Graph-based multi-agent decision making
International Journal of Approximate Reasoning
International Journal of Intelligent Systems
Cluster-reliability-induced OWA operators
International Journal of Intelligent Systems
An analytic approach to obtain the least square deviation OWA operator weights
Fuzzy Sets and Systems
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Since Yager first presented the ordered weighted averaging (OWA) operator to aggregate multiple input arguments, it has received much attention from the fields of decision science and computer science. A critical issue when selecting an OWA operator is the determination of the associated weights. For this reason, numerous weight generating methods, including rogramming-based approaches, have appeared in the literature. In this paper, we develop a general method for obtaining OWA operator weights via an extreme point approach. The extreme points are represented by the intersection of an attitudinal character constraint and a fundamental ordered weight simplex. The extreme points are completely identified using the proposed formula, and the OWA operator weights can then be expressed by a convex combination of the identified extreme points. With those identified extreme points, some new OWA operator weights can be generated by a centroid or a user-directed method, which reflects the decision-maker's incomplete preferences. This line of reasoning is further extended to encompass situations in which the attitudinal character is specified in the form of interval with an aim to relieve the burden of specifying the precise attitudinal character, thus obtaining less-specific expressions that render human judgments readily available. All extreme points corresponding to the uncertain attitudinal character are also obtained by a proposed formula and then used to prioritize the multitude of alternatives. Meanwhile, two dominance rules are effectively used for prioritization of alternatives.