直觉积性判断矩阵的对数一致性及其检验与修正算法
Algorithm to Check and Reach the Log-Consistency of Intuitionistic Multiplicative Judgement Matrices
摘要: 直觉积性判断矩阵能够客观的反映决策者直觉而被广泛研究。本文在已有直觉积性判断矩阵工作基础上对其一致性问题进行研究,包括提出直觉积性判断矩阵对数一致性的概念,给出构造其对数一致性的公式;给出检验与修正单个(多个)直觉积性判断矩阵对数一致性检验与修正算法,该算法能够在修正一致性的同时尽可能保留最初的判断信息,通过实例说明算法有效性。
Abstract: Intuitionistic multiplicative judgement matrices, which can reflect our intuition more objectively, have been extensively investigated. In this paper, based on the existing work on intuitionistic mul-tiplicative judgement matrices, the consistency of the intuitionistic multiplicative judgement ma-trices is investigated. Concretely, the concept of Log-consistency and its formula of intuitionistic multiplicative matrices is provided; then algorithms to check and modify the Log-consistency of single or several intuitionistic multiplicative judgement matrices are given, which can keep the in-itial judgement information as much as possible.
文章引用:许传钰, 马振明. 直觉积性判断矩阵的对数一致性及其检验与修正算法[J]. 运筹与模糊学, 2019, 9(1): 107-114. https://doi.org/10.12677/ORF.2019.91012

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