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THERE IS NO MATHEMATICAL VALIDITY FOR USING FUZZY NUMBER CRUNCHING IN THE ANALYTIC HIERARCHY PROCESS

查看全文 作  者:Thomas L. [1]SAATY 高影响力作者 机构地区:[1]University of Pittsburgh, Pittsburgh, PA 15260高影响力机构 出  处:《Journal of Systems Science and Systems Engineering》索引2006年第15卷第4期,共8页高影响力期刊 摘  要:Fuzzy logic has difficulty producing valid answers in decision-making. Absent are theorems to prove that it works to produce results already known that are being estimated with judgments by transforming such judgments numerically. The numerical representation of judgments in the AHP is already fuzzy. Making fuzzy judgments more fuzzy does not lead to a better more valid outcome and it often leads to a worse one. The compatibility index of the AHP is used to illustrate how the answers obtained by fuzzifying AHP judgments do not produce better results than direct derivation of the principal eigenvector. Other authors who did experiments with given data in decision making quoted in the conclusions section of the paper, have observed that fuzzy sets gives the poorest answers among all methods used to derive best decisions. 关 键 词:层次分析法 模糊逻辑 调和指数 模糊数
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