北京航空航天大学学报(社会科学版) ›› 2009, Vol. 22 ›› Issue (4): 22-24.

• 论文 • 上一篇    下一篇

基于互反和互补的区间偏好信息集结方法研究

杜俊慧, 魏法杰   

  1. 北京航空航天大学 经济管理学院, 北京 100191
  • 收稿日期:2008-09-22 出版日期:2009-12-25 发布日期:2010-06-12
  • 作者简介:杜俊慧(1976-),女,山西太谷人,讲师,博士研究生,研究方向为多目标决策、综合评

Aggregation Approach of Two Kinds of Interval  Preference Information

DU Junhui, WEI Fajie   

  1. School of Economics and Management, Beijing University of Aeronautics and Astro nautics, Beijing 100191, China
  • Received:2008-09-22 Online:2009-12-25 Published:2010-06-12

摘要:

主要研究区间数互反和互补判断矩阵的集结排序方法。在区间数互反和互补判断矩阵概念的基础上,给出了区间数互反和互补判断矩阵的一致性定义。根据一致性的定义,提出了基于线性规划模型的区间数互反和互补判断矩阵集结方法,并通过实例说明了方法的可行性和有效性。

关键词: 互反判断矩阵, 互补判断矩阵, 集结, 线性规划

Abstract:

The group aggregation approach of interval number reciprocal compariso n matrix and interval number complementary comparison matrix are studied in this paper. First, some new concepts such as interval number reciprocal comparison m atrix,interval number complementary comparison matrix, consistent interval reciprocal comparison matrix and consistent interval complementary comparison matrix are defined. Then, according to the consistency of comparison matrix, some simple and practical linear programming models for aggregating interval number reciprocal comparison matrix and interval number complementary comparison matrix are established. Finally, a numerical example is provided to illustrate the developed models.

Key words: reciprocal comparison matrix, complementary comparison matrix, aggregation, line ar programming

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