2024-03-28T11:21:46Zhttps://eprints.lib.hokudai.ac.jp/dspace-oai/requestoai:eprints.lib.hokudai.ac.jp:2115/145312022-11-17T02:08:08Zhdl_2115_20053hdl_2115_145Multiple-Attribute Decision Making Under Uncertainty: The Evidential Reasoning Approach RevisitedHuynh, Van-NamNakamori, YoshiteruHo, Tu-Bao1000090201805Murai, Tetsuyaopen access©2006 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.assessmentevidence combinationevidential reasoning (ER)multiple-attribute decision making (MADM)uncertainty548In multiple-attribute decision making (MADM) problems, one often needs to deal with decision information with uncertainty. During the last decade, Yang and Singh (1994) have proposed and developed an evidential reasoning (ER) approach to deal with such MADM problems. Essentially, this approach is based on an evaluation analysis model and Dempster's rule of combination in the Dempster–Shafer (D–S) theory of evidence. This paper reanalyzes the ER approach explicitly in terms of D–S theory and then proposes a general scheme of attribute aggregation in MADM under uncertainty. In the spirit of such a reanalysis, previous ER algorithms are reviewed and two other aggregation schemes are discussed. Theoretically, it is shown that new aggregation schemes also satisfy the synthesis axioms, which have been recently proposed by Yang and Xu (2002) for which any rational aggregation process should grant. A numerical example traditionally examined in published sources on the ER approach is used to illustrate the discussed techniques.IEEE2006-07engjournal articleVoRhttp://hdl.handle.net/2115/14531https://doi.org/10.1109/TSMCA.2005.8557781083-4427IEEE Transactions on Systems Man and Cybernetics - Part A Systems and Humans364804822https://eprints.lib.hokudai.ac.jp/dspace/bitstream/2115/14531/1/01643827.pdfapplication/pdf449.87 KB2006-07