Axiomatic property based consistency analysis and decision making with interval multiplicative reciprocal preference relations.
Information Sciences(2019)
摘要
•Propose four axiomatic properties to characterize multiplicative consistency of IMRPRs.•Construct an interval matrix used to define consistent IMRPRs and obtain aninterval extension of Saaty's consistency.•Develop a logarithmic least square model to obtain normalized interval weights from IMRPRs and find its analytic solution.•Introduce an index to measure uniformity of row uncertainties in an IMRPR and present a geometric consistency index.•Devise a novel method to check acceptability of IMRPRs.
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关键词
Analytic hierarchy process,Interval multiplicative reciprocal preference relation,Axiomatic property,Consistency,Acceptability,Logarithmic least square
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