| 基于OWGA算子的偏好信息集结法及其在群决策中的应用 |
| |
| 引用本文： | 周宏安,刘三阳.基于OWGA算子的偏好信息集结法及其在群决策中的应用[J].运筹与管理,2005,14(6):29-32. |
| |
| 作者姓名： | 周宏安 刘三阳 |
| |
| 作者单位： | 1. 西安电子科技大学,应用数学系,陕西,西安,710071;陕西理工学院,基础课部,陕西,汉中,723000
2. 西安电子科技大学,应用数学系,陕西,西安,710071 |
| |
| 基金项目： | 陕西省自然科学基金研究项目（2003A09）;教育部跨世纪优秀人才计划资助项目 |
| |
| 摘 要： | 研究了决策者的偏好信息以不同形式给出的群决策问题。首先，利用不同偏好信息之间的转换公式，将偏好次序型、效用值型、互反判断矩阵型三种偏好信息一致化为模糊互补判断矩阵型的偏好信息；其次。利用加权几何平均（OWGA）算子对一致化后的决策信息进行集结。再对方案的加权几何平均优势度进行综合集结，并以此进行方案的排序，提出了基于OWGA算子的群决策方法，该方法具有操作简便和计算量少的特点。最后。通过实例说明方法的可行性和实用性。
|
| 关 键 词： | 群决策 偏好信息 一致化OWGA算子 集结 排序 |
| 文章编号： | 1007-3221(2005)06-0029-04 |
| 收稿时间： | 01 15 2005 12:00AM |
| 修稿时间： | 2005年1月15日 |
Method Based on OWGA Operators for Aggregating Preference Information and Its Application in Group Decision-making Problems |
| |
| ZHOU Hong-an,LIU San-yang.Method Based on OWGA Operators for Aggregating Preference Information and Its Application in Group Decision-making Problems[J].Operations Research and Management Science,2005,14(6):29-32. |
| |
| Authors: | ZHOU Hong-an LIU San-yang |
| |
| Institution: | 1. Department of Applied Mathematics, Xidian University, Xian 710071, China ; 2. Department of Basic Courses, Shaanxi University of Technology, Hanzhong 723000, China |
| |
| Abstract: | The group decision-making problems with the preference information about the alternatives provided by the decision makers in the different forms are studied.Firstly,we turn three forms of preference information (preference orderings,utility values,and multiplicative judgement matrix) uniform into fuzzy reciprocal judgement matrix by using the transformation formulas of each other.Secondly,we aggregate decision-making information uniformed by using ordered weighted geometric averaging(OWGA) operator.Moreover,the alternatives are ranked by using the weighted geometric averaging dominance degree which is aggregated by OWGA operator.A method based on OWGA operators for group decision-making problems is proposed,and it is characterized by simple operation and small computation.Finally,an example is given to show the feasibility and availability of the developed method. |
| |
| Keywords: | group decision-making preference information uniform OWGA operator aggregation priority |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
