Determining OWA operator weights by mean absolute deviation minimization

Authors:
Michał Majdan;Włodzimierz Ogryczak
Affiliations:
Institute of Control and Computation Engineering, Warsaw University of Technology, Warsaw, Poland,National Institute of Telecommunications, Warsaw, Poland;Institute of Control and Computation Engineering, Warsaw University of Technology, Warsaw, Poland
Venue:
ICAISC'12 Proceedings of the 11th international conference on Artificial Intelligence and Soft Computing - Volume Part I
Year:
2012

Citing 14
Cited 0

On ordered weighted averaging aggregation operators in multicriteria decisionmaking

IEEE Transactions on Systems, Man and Cybernetics
Measures of entropy and fuzziness related to aggregation operators

Information Sciences—Intelligent Systems: An International Journal
The ordered weighted averaging operators: theory and applications

The ordered weighted averaging operators: theory and applications
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
Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)

Modeling Decisions: Information Fusion and Aggregation Operators (Cognitive Technologies)
An extended minimax disparity to determine the OWA operator weights

Computers and Industrial Engineering
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
On efficient WOWA optimization for decision support under risk

International Journal of Approximate Reasoning
On the dispersion measure of OWA operators

Information Sciences: an International Journal
A linear programming model for determining ordered weighted averaging operator weights with maximal Yager's entropy

Computers and Industrial Engineering

Quantified Score

Hi-index	0.00

Visualization

Abstract

The ordered weighted averaging (OWA) operator uses the weights assigned to the ordered values rather than to the specific criteria. This allows one to model various aggregation preferences, preserving simultaneously the impartiality (neutrality) with respect to the individual attributes. The determination of ordered weighted averaging (OWA) operator weights is a crucial issue of applying the OWA operator for decision making. This paper considers determining monotonic weights of the OWA operator by minimization the mean absolute deviation inequality measure. This leads to a linear programming model which can also be solved analytically.