A Method for Decision Making with the OWA Operator

Jose M. Merigo1 and Anna M. Gil-Lafuente1

  1. Department of Business Administration, University of Barcelona
    Av. Diagonal 690, 08034 Barcelona, Spain
    {jmerigo, amgil}@ub.edu

Abstract

A new method for decision making that uses the ordered weighted averaging (OWA) operator in the aggregation of the information is presented. It is used a concept that it is known in the literature as the index of maximum and minimum level (IMAM). This index is based on distance measures and other techniques that are useful for decision making. By using the OWA operator in the IMAM, we form a new aggregation operator that we call the ordered weighted averaging index of maximum and minimum level (OWAIMAM) operator. The main advantage is that it provides a parameterized family of aggregation operators between the minimum and the maximum and a wide range of special cases. Then, the decision maker may take decisions according to his degree of optimism and considering ideals in the decision process. A further extension of this approach is presented by using hybrid averages and Choquet integrals. We also develop an application of the new approach in a multi-person decision-making problem regarding the selection of strategies.

Key words

decision making, OWA operator, aggregation operator, index of maximum and minimum level, selection of strategies

Digital Object Identifier (DOI)

https://doi.org/10.2298/CSIS110206044M

Publication information

Volume 9, Issue 1 (January 2012)
Year of Publication: 2012
ISSN: 1820-0214 (Print) 2406-1018 (Online)
Publisher: ComSIS Consortium

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How to cite

Merigo, J. M., Gil-Lafuente, A. M.: A Method for Decision Making with the OWA Operator. Computer Science and Information Systems, Vol. 9, No. 1, 357-380. (2012)