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基于未确知三值判断的层次分析法 被引量:10

The Analytic Hierarchy Process Based on the Unascertained Three-Valued Judgments
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摘要  研究了层次分析法中对元素重要性进行两两比较时判断值的不确定性问题.给出了两两比较判断值为未确知三值互反标度时判断矩阵的构造方法,并通过将这种互反判断矩阵转化为属性判断矩阵,给出了其一致性检验方法及权系数的简明计算公式.最后给出了算例分析. The problem is studied when the pairwise comparisons values are uncertain in the analytic hierarchy process (AHP). Firstly, the method of constructing judgment matrix is presented when the pairwise comparisons values are denoted by the unascertained three-valued reciprocal scales. Then, by turning the reciprocal judgment matrix into attribute judgment matrix, the method to check the consistency degree of the pairwise comparisons judgment matrix and the calculation method of weighting coefficients are given. Finally, numerical examples are given.
出处 《系统工程理论与实践》 EI CSCD 北大核心 2004年第12期89-93,共5页 Systems Engineering-Theory & Practice
关键词 层次分析法 不确定性信息 未确知有理数 属性判断矩阵 AHP uncertain information unascertained rational number attribute judgment matrix
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参考文献4

  • 1Saaty T L.The Analytic Hierarchy Process[M].MC-Graw-Hill, Inc., NewYork,1980.
  • 2Zadeh L A.Fuzzy sets[J].Information and Control,1965,8(3):338-353.
  • 3Gogus O and Boucher T O.Strong transitivity, rationality and weak monotonicity in fuzzy pairwise comparisons[J].Fuzzy Sets and Systems,1998,94:133-144.
  • 4Wan Y C,Bao X L.The analytic hierarchy process based on the unascertained information[A].Proceedings of International Conference on Fuzzy Information Processing Theories and Applications[C],Beijing, China,2003, 3.663-668.

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