安庆师范学院学报（自然科学版）
安慶師範學院學報（自然科學版）
안경사범학원학보（자연과학판）
JOURNAL OF ANQING TEACHERS COLLEGE(NATURAL SCIENCE)
2015年
2期
16-18
,共3页
决策分析%语言判断矩阵%偏好关系矩阵%导出矩阵%满意一致性
決策分析%語言判斷矩陣%偏好關繫矩陣%導齣矩陣%滿意一緻性
결책분석%어언판단구진%편호관계구진%도출구진%만의일치성
decision-making%linguistic judgment matrix%preference relation matrix%induced matrix%satisfied consistency
首先对多粒度语言判断矩阵定义了导出函数，相应地得到多粒度语言判断矩阵的互补导出矩阵，针对多粒度语言判断矩阵的互补导出矩阵，提出了多粒度语言判断矩阵满意一致性的新概念，并通过定义多粒度语言判断矩阵的偏好关系矩阵，给出了满意一致性的充分必要条件，进一步提出了多粒度语言判断矩阵的满意一致性的判定方法和基于满意一致性的语言判断矩阵方案优劣的排序算法。最后通过具体实例说明多粒度语言判断矩阵的满意一致性的判定方法和基于满意一致性的语言判断矩阵方案优劣的排序算法具有可行性与有效性。
首先對多粒度語言判斷矩陣定義瞭導齣函數，相應地得到多粒度語言判斷矩陣的互補導齣矩陣，針對多粒度語言判斷矩陣的互補導齣矩陣，提齣瞭多粒度語言判斷矩陣滿意一緻性的新概唸，併通過定義多粒度語言判斷矩陣的偏好關繫矩陣，給齣瞭滿意一緻性的充分必要條件，進一步提齣瞭多粒度語言判斷矩陣的滿意一緻性的判定方法和基于滿意一緻性的語言判斷矩陣方案優劣的排序算法。最後通過具體實例說明多粒度語言判斷矩陣的滿意一緻性的判定方法和基于滿意一緻性的語言判斷矩陣方案優劣的排序算法具有可行性與有效性。
수선대다립도어언판단구진정의료도출함수，상응지득도다립도어언판단구진적호보도출구진，침대다립도어언판단구진적호보도출구진，제출료다립도어언판단구진만의일치성적신개념，병통과정의다립도어언판단구진적편호관계구진，급출료만의일치성적충분필요조건，진일보제출료다립도어언판단구진적만의일치성적판정방법화기우만의일치성적어언판단구진방안우렬적배서산법。최후통과구체실례설명다립도어언판단구진적만의일치성적판정방법화기우만의일치성적어언판단구진방안우렬적배서산법구유가행성여유효성。
First, the deduced function of multi-granularity linguistic judgment matrices is introduced, correspondingly, the deduced matrices of multi-granularity linguistic judgment matrices is defined.On the basis of these definitions, satisfactory consis-tency of multi-granularity linguistic judgment matrices and preference relation matrix are then presented .The sufficient and neces-sary conditions of a multi-granularity linguistic judgment matrix to fulfill satisfactory consistency are obtained .Furthermore, a judg-ment method is given 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.
