Reliable Intervals Method in Decision-Based Support Models for Group Decision-Making

Virgilio López-Morales () and Joel Suárez-Cansino ()
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Virgilio López-Morales: Centro de Investigación en Tecnologías de Información y Sistemas, Universidad Autónoma del Estado de Hidalgo, Carr. Pachuca - Tulancingo km. 4.5; 42184, Pachuca, México
Joel Suárez-Cansino: Centro de Investigación en Tecnologías de Información y Sistemas, Universidad Autónoma del Estado de Hidalgo, Carr. Pachuca - Tulancingo km. 4.5; 42184, Pachuca, México

International Journal of Information Technology & Decision Making (IJITDM), 2017, vol. 16, issue 01, 183-204

Abstract: In this paper, a methodology to derive reliable intervals for multiplicative preference relations (or pairwise comparison matrices) satisfying consistency and consensus indexes is introduced. Our approach is proposed via a combination of numerical algorithms and a nonlinear optimization algorithm. A synthesis of reliable intervals is achieved, where group decision makers show evidence of these intervals to express flexibility in the manner of their preferences, while accomplishing some a priori decision targets, rules and advice given by their current framework. The algorithms are applied to some examples in order to illustrate our results and compare them with other methodologies.

Keywords: Group decision-making support systems; multiple criteria decision-making; analytic hierarchy process; reliable intervals; multiplicative preference relations; uncertain decision-making (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0219622016500498

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