残缺语言判断矩阵次序一致性及可能值的推断

Ordinal Consistency and Probable Value Inference of Incomplete Fuzzy Linguistic Preference Relation

文章研究了残缺语言判断矩阵的次序一致性及缺失元素偏好值的估算方法。给出了残缺语言判断矩阵的次序一致性定义,若判断矩阵不符合次序一致性,则对其中的已知元素进行修正调整;并在满足次序一致性的要求后,提出了一种改进的基于二元语义加型一致性性质的缺失元素的估算算法,该算法能够快速有效地估算出缺失元素的偏好值。

This paper studies the ordinal consistency of incomplete fuzzy linguistic preference relation （FLPR） and the miss- ing elements preference values. The paper gives the definition of ordinal consistency of incomplete FLPR. If the incomplete FLPR does not match the ordinal consistency, the known elements will be revised and adjusted. After the FLPR satisfies ordinal consis- tency, the paper proposes an improved missing element estimation algorithm based on 2-tuple linguistic additive consistency. This algorithm is able to estimate the preference values of missing elements quickly and effectively.