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

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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)

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.

Suggested Citation

  • Virgilio López-Morales & Joel Suárez-Cansino, 2017. "Reliable Intervals Method in Decision-Based Support Models for Group Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 183-204, January.
    • Handle: RePEc:wsi:ijitdm:v:16:y:2017:i:01:n:s0219622016500498
    DOI: 10.1142/S0219622016500498
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    2. Adrian Castro-Lopez & Javier Puente & Rodolfo Vazquez-Casielles, 2018. "e-Service Quality Model for Spanish Textile and Fashion Sector: Positioning Analysis and B2C Ranking by F-Topsis," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 17(02), pages 485-512, March.

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