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Estimating The Attribute Weights Through Evidential Reasoning And Mathematical Programming

Author

Listed:
  • MINGRONG DENG

    (Institute of Decision and Optimisation, School of Management, Zhejiang University, Hangzhou, 310027, P.R. China)

  • WEIXUAN XU

    (Institute of Policy and Management, Chinese Academy of Sciences, Beijing, 100080, P.R. China)

  • JIAN-BO YANG

    (University of Manchester Institute of Science and Technology, Manchester, M60, 1QD, UK)

Abstract

An approach for estimating attribute weight is proposed, which is addressed to the problem inverse to the aggregation assessment based on a hierarchy of attributes. Evidential reasoning framework is employed since the assessment on some basic attributes may be uncertain and incomplete. As a by-product, a simple formula for evidence combination for our special case is obtained. The weights are estimated based on the preference given by the decision-maker, and represented as intervals. The more abundant preference the decision-maker shows, the clearer the relation among the basic attributes.

Suggested Citation

  • Mingrong Deng & Weixuan Xu & Jian-Bo Yang, 2004. "Estimating The Attribute Weights Through Evidential Reasoning And Mathematical Programming," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 3(03), pages 419-428.
    • Handle: RePEc:wsi:ijitdm:v:03:y:2004:i:03:n:s0219622004001124
    DOI: 10.1142/S0219622004001124
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    Cited by:

    1. Yang, Guo-liang & Yang, Jian-Bo & Xu, Dong-Ling & Khoveyni, Mohammad, 2017. "A three-stage hybrid approach for weight assignment in MADM," Omega, Elsevier, vol. 71(C), pages 93-105.
    2. Shahryar Monghasemi & Mohammad Reza Nikoo & Mohammad Ali Khaksar Fasaee & Jan Adamowski, 2017. "A Hybrid of Genetic Algorithm and Evidential Reasoning for Optimal Design of Project Scheduling: A Systematic Negotiation Framework for Multiple Decision-Makers," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 389-420, March.

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