摘要
文章研究了语言判断矩阵的满意一致性及方案排序问题,在给出语言判断矩阵及其满意一致性概念的基础上,提出语言判断矩阵的导出矩阵和偏好关系矩阵的概念,由此建立语言判断矩阵满意一致性的判定方法,依据所给出的判定方法,得出关于语言判断矩阵的方案优劣的排序方法,最后通过算例说明了该方法的有效性。
This paper studies the satisfying consistency and ranking of linguistic judgment matrix. Based on the conceptions of linguistic judgment matrix and its satisfying consistency, the connotations of induced matrix and preference relation matrix are presented. Furthermore, a judgment method is presented to determine whether the linguistic judgment matrix has satisfying consistency. According to the judgment method, the approach for ranking alternatives based on the linguistic judgment matrix is also obtained. Finally, an example shows the effectiveness of the proposed method.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第4期621-624,共4页
Journal of Hefei University of Technology：Natural Science
基金
国家自然科学基金资助项目(70571001)
安徽省优秀青年科技基金资助项目(08040106835)
安徽省自然科学基金资助项目(070416245)
安徽省高等学校青年教师科研资助计划项目(2008jq1128
2007jq1017
2007jq1190)
安徽省高等学校省级自然科学研究一般资助项目(KJ2010B094)
关键词
语言判断矩阵
偏好关系矩阵
满意一致性
导出矩阵
linguistic judgment matrix
preference relation matrix
satisfying consistency
induced matrix
