计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (2): 137-139.DOI: 10.3778/j.issn.1002-8331.2009.02.040

• 数据库、信号与信息处理 • 上一篇    下一篇

对方案有偏好的直觉模糊多属性决策方法

夏梅梅,魏翠萍   

  1. 曲阜师范大学 运筹与管理学院,山东 日照 276826
  • 收稿日期:2008-08-18 修回日期:2008-10-23 出版日期:2009-01-11 发布日期:2009-01-11
  • 通讯作者: 夏梅梅

Method of intutionistic fuzzy multiple attribute decision making with preference relation on alternatives

XIA Mei-mei,WEI Cui-ping   

  1. College of Operations Research and Management,Qufu Normal University,Rizhao,Shandong 276826,China
  • Received:2008-08-18 Revised:2008-10-23 Online:2009-01-11 Published:2009-01-11
  • Contact: XIA Mei-mei

摘要: 对属性权重信息不完全、属性值和决策者对方案的偏好信息均以直觉模糊数表示的多属性决策问题提出一种决策方法。首先根据决策者对方案的偏好信息建立多目标规划模型,求出属性权重,接着利用觉模糊加权算术平均算子求出方案的综合属性值,由直觉模糊数的得分函数和精确函数确定方案的排序,最后通过实例证明了该方法的实用性和有效性。

关键词: 多属性决策, 直觉模糊数, 目标规划模型, 加权算术平均算子

Abstract: A method is presented to deal with the fuzzy multiple attribute decision making problem with preference values on alternatives,in which the information about attribute weights is incomplete,the attribute values and the preference information on alternatives are given in the form of intuitionistic fuzzy numbers.According to the preference information on alternatives given by decision makers,multi-objective programming model is constructed to obtain the attribute weights.Then,intuitionistic fuzzy weighted arithmetic averaging operator is used to aggregate the intuitionistic fuzzy information corresponding to each alternative,and the alternatives are ranked by the score function.Finally,an illustrative example is given to demonstrate the practicality and effectiveness of the proposed method.

Key words: multiple attribute decision making, intuitionistic fuzzy numbers, objective programming model, weighted arithmetic averaging operator