THE MULTIPLE CHOICE PROBLEM WITH INTERACTIONS BETWEEN CRITERIA

ABSTRACT An important problem in Multi-Criteria Decision Analysis arises when one must select at least two alternatives at the same time. This can be denoted as a multiple choice problem. In other words, instead of evaluating each of the alternatives separately, they must be combined into groups of...

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Bibliographic Details
Main Authors: Luiz Flavio Autran Monteiro Gomes, Maria Augusta Soares Machado, Luis Alberto Duncan Rangel
Format: Article
Language:English
Published: Sociedade Brasileira de Pesquisa Operacional 2015-12-01
Series:Pesquisa Operacional
Subjects:
Online Access:http://www.scielo.br/scielo.php?script=sci_arttext&pid=S0101-74382015000300523&lng=en&tlng=en
Description
Summary:ABSTRACT An important problem in Multi-Criteria Decision Analysis arises when one must select at least two alternatives at the same time. This can be denoted as a multiple choice problem. In other words, instead of evaluating each of the alternatives separately, they must be combined into groups of n alternatives, where n = 2. When the multiple choice problem must be solved under multiple criteria, the result is a multi-criteria, multiple choice problem. In this paper, it is shown through examples how this problemcan be tackled on a bipolar scale. The Choquet integral is used in this paper to take care of interactions between criteria. A numerical application example is conducted using data from SEBRAE-RJ, a non-profit private organization that has the mission of promoting competitiveness, sustainable developmentand entrepreneurship in the state of Rio de Janeiro, Brazil. The paper closes with suggestions for future research.
ISSN:1678-5142