计算机工程与应用 ›› 2011, Vol. 47 ›› Issue (24): 241-244.

• 工程与应用 • 上一篇    下一篇

多属性决策的模糊理想点法

姚绍文1,2   

  1. 1.天津大学 管理学院,天津 300072
    2.河南理工大学 数学与信息科学学院,河南 焦作 454003
  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2011-08-21 发布日期:2011-08-21

Method for multi-attribute decision making based on fuzzy ideal solutions

YAO Shaowen1,2   

  1. 1.School of Management,Tianjin University,Tianjin 300072,China
    2.School of Mathematics and Information Science,Henan Polytechnic University,Jiaozuo,Henan 454003,China
  • Received:1900-01-01 Revised:1900-01-01 Online:2011-08-21 Published:2011-08-21

摘要: 讨论了属性值为三角模糊变量的多属性决策问题,提出了确定模糊正理想点和模糊负理想点的方法,给出了基于模糊正理想点和模糊负理想点对各方案进行排序的方法。给出算例验证了所提出的方法的有效性,并验证了不同方法所确定的模糊正理想点和模糊负理想点,会导致方案排序的改变。

关键词: 多属性决策, 模糊正理想点, 模糊负理想点, 排序

Abstract: In this paper,the multi-attribute decision making is discussed,where the attribute values are considered as triangular fuzzy variables.A method is proposed to determine the fuzzy positive ideal solution and fuzzy negative ideal solution.A method for multi-attribute decision making based on the fuzzy ideal solutions is presented.An example is given to illustrate the effectiveness of this method.The variety of ideal solutions can lead to the change of ranking of alternatives.

Key words: multi-attribute decision making, fuzzy positive ideal solution, fuzzy negative ideal solution, ranking