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
Computing with words in intelligent database querying: standalone and internet-based application
Information Sciences—Informatics and Computer Science: An International Journal - Special issue computing with words
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
On the methods of decision making under uncertainty with probability information
International Journal of Intelligent Systems
A minimax disparity approach for obtaining OWA operator weights
Information Sciences: an International Journal
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
Two new models for determining OWA operator weights
Computers and Industrial Engineering
The solution equivalence of minimax disparity and minimum variance problems for OWA operators
International Journal of Approximate Reasoning
Preference relation approach for obtaining OWA operators weights
International Journal of Approximate Reasoning
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
MP-OWA: The most preferred OWA operator
Knowledge-Based Systems
Empirical assessment of a collaborative filtering algorithm based on OWA operators
International Journal of Intelligent Systems - Aggregation Operators for Information Systems
Aggregation Functions: A Guide for Practitioners
Aggregation Functions: A Guide for Practitioners
OWA operators with maximal Rényi entropy
Fuzzy Sets and Systems
Parameterized OWA operator weights: An extreme point approach
International Journal of Approximate Reasoning
Optimizing search engines results using linear programming
Expert Systems with Applications: An International Journal
Parametric aggregation in ordered weighted averaging
International Journal of Approximate Reasoning
On tuning OWA operators in a flexible querying interface
FQAS'06 Proceedings of the 7th international conference on Flexible Query Answering Systems
Some properties of the weighted OWA operator
IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics
OWA operators in data modeling and reidentification
IEEE Transactions on Fuzzy Systems
Time Series Smoothing and OWA Aggregation
IEEE Transactions on Fuzzy Systems
An Efficient Pruning Method for Decision Alternatives of OWA Operators
IEEE Transactions on Fuzzy Systems
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An important issue in the theory of ordered weighted averaging (OWA) operators is the determination of the associated weights. One important approach, suggested by Wang, Luo and Liu in 2007 determines a special class of OWA operators with the least square deviation (LSD) of OWA weights for a given orness level. In this paper, using the method of Lagrange multipliers, we solve this constrained optimization problem analytically, and derive a polynomial equation to determine the optimal weighting vector. Numerical examples illustrate our proposed approach.