Reply to the note on article "The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees"

Ying-Ming Wang

European Journal of Operational Research, 2009, vol. 197, issue 2, 813-817

Abstract: In a very recent note by Gao and Ni [B. Gao, M.F. Ni, A note on article "The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees", European Journal of Operational Research, in press, doi:10.1016/j.ejor.2007.10.0381], they argued that Yen's combination rule [J. Yen, Generalizing the Dempster-Shafer theory to fuzzy sets, IEEE Transactions on Systems, Man and Cybernetics 20 (1990) 559-570], which normalizes the combination of multiple pieces of evidence at the end of the combination process, was incorrect. If this were the case, the nonlinear programming models we proposed in [Y.M. Wang, J.B. Yang, D.L. Xu, K.S. Chin, The evidential reasoning approach for multiple attribute decision analysis using interval belief degrees, European Journal of Operational Research 175 (2006) 35-66] would also be incorrect. In this reply to Gao and Ni, we re-examine their numerical illustrations and reconsider their analysis of Yen's combination rule. We conclude that Yen's combination rule is correct and our nonlinear programming models are valid.

Keywords: Dempster-Shafer; theory; of; evidence; Combination; and; normalization; of; evidence; The; evidential; reasoning; approach; Multiple; attribute; decision; analysis; Interval; belief; degree (search for similar items in EconPapers)
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:197:y:2009:i:2:p:813-817

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