Parametric aggregation in ordered weighted averaging

Authors:
Gholam R. Amin;Ali Emrouznejad
Affiliations:
Department of Operations Management and Business Statistics, College of Commerce and Economics, Sultan Qaboos University, Oman;Operations & Information Management Group, Aston Business School, Aston University, UK
Venue:
International Journal of Approximate Reasoning
Year:
2011

Citing 15
Cited 3

On ordered weighted averaging aggregation operators in multicriteria decisionmaking

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A minimax disparity approach for obtaining OWA operator weights

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On the dispersion measure of OWA operators

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Improving minimax disparity model to determine the OWA operator weights

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The orness measures for two compound quasi-arithmetic mean aggregation operators

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OWA operators in regression problems

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Parameterized OWA operator weights: An extreme point approach

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Alpha-Level Aggregation: A Practical Approach to Type-1 OWA Operation for Aggregating Uncertain Information with Applications to Breast Cancer Treatments

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OWA trees and their role in security modeling using attack trees

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Using Stress Functions to Obtain OWA Operators

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An Efficient Pruning Method for Decision Alternatives of OWA Operators

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An induced OWA operator in coal mine safety evaluation

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Graph-based multi-agent decision making

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An analytic approach to obtain the least square deviation OWA operator weights

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Abstract

Incorporating further information into the ordered weighted averaging (OWA) operator weights is investigated in this paper. We first prove that for a constant orness the minimax disparity model [13] has unique optimal solution while the modified minimax disparity model [16] has alternative optimal OWA weights. Multiple optimal solutions in modified minimax disparity model provide us opportunity to define a parametric aggregation OWA which gives flexibility to decision makers in the process of aggregation and selecting the best alternative. Finally, the usefulness of the proposed parametric aggregation method is illustrated with an application in metasearch engine.