Acceptability analysis and priority weight elicitation for interval multiplicative comparison matrices
作者： Kevin W. Li , Zhou-Jing Wang , Xiayu Tong
DOI: 10.1016/J.EJOR.2015.09.010
关键词:
摘要: Existing research on acceptability of pairwise interval comparison matrices focuses acceptable consistency by controlling their inconsistency levels to within a certain threshold. However, perfectly consistent but highly indeterminate matrix can be unacceptable as it contains little (sometimes no) useful decision information. This paper first analyzes the current definition for multiplicative (IMCMs) and shows its technical deficiencies. We then introduce new notion IMCMs, considering both indeterminacy in IMCMs. A geometric-mean-based index is proposed measure ratio an IMCM, properties are derived IMCMs An indeterminacy-ratio transformation equation subsequently put forward convert normalized weights into IMCM with consistency. By introducing auxiliary constraint, logarithmic least square model established generate from possibility degree formula designed compare rank weights. Two numerical examples presented illustrate how utilize framework.
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