Journal of Computer Applications ›› 2012, Vol. 32 ›› Issue (01): 218-222.DOI: 10.3724/SP.J.1087.2012.00218

• Artificial intelligence • Previous Articles     Next Articles

Multiple attribute decision-making method with intervals based on possibility degree matrix

GUO Kai-hong,MU You-jing   

  1. School of Information, Liaoning University, Shenyang Liaoning 110036, China
  • Received:2011-06-13 Revised:2011-08-02 Online:2012-02-06 Published:2012-01-01
  • Contact: GUO Kai-hong



  1. 辽宁大学 信息学院,沈阳 110036
  • 通讯作者: 郭凯红
  • 作者简介:郭凯红(1973-),男,河南镇平人,讲师,博士,主要研究方向:信息融合、不确定信息决策;牟有静(1962-),女,辽宁大连人,副研究馆员,主要研究方向:图书情报数字化、信息检索。
  • 基金资助:


Abstract: The authors studied the relation between several possibility degree formulas, and proposed a possibility degree matrices-based method that aimed to objectively determine the weights of criteria in Multiple Attribute Decision-Making (MADM) with intervals. Each pair of interval values belonging to the same attributes in a decision matrix was compared to construct corresponding possibility degree matrices, whose priority vectors were subsequently utilized to convert the decision matrix expressed as intervals into a matrix with precise numbers as a measure. In this way, an uncertainty of determining weights of criteria in MADM with intervals could be converted into a certainty which was easier to handle, and with the attribute weights obtained, the possibility degree method for ranking interval numbers was still used to get the priorities of alternatives. Two numerical examples were given to illustrate the proposed method and examine its feasibility and validity. Finally, a necessary discussion was made on the conversion from uncertainty to certainty in MADM with intervals, and some potential problems coming from it.

Key words: Multiple Attribute Decision-Making (MADM), weights of criteria, interval number, possibility degree

摘要: 研究了几组可能度公式之间的关系,提出一种基于可能度矩阵的区间型多属性决策(MADM)方法。对决策矩阵中各指标下的属性区间值两两比较并建立各指标的可能度矩阵,通过各个可能度矩阵的排序向量把属性值为区间数的决策矩阵转化为以精确数为测度的矩阵,把求解区间型多属性决策中指标权重的不确定性问题转化为确定性问题处理,随后利用区间数排序的可能度法获得最优方案。实验结果表明了所提方法的可行性和有效性。最后对多属性决策问题中由不确定性转化为确定性的求解策略及其可能产生的问题作了必要讨论。

关键词: 多属性决策, 指标权重, 区间数, 可能度

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