东北大学学报（自然科学版）

东北大学学报(自然科学版) ›› 2008, Vol. 29 ›› Issue (10): 1509-1512+1516.DOI: -

• 论著 • 上一篇    下一篇

区间数密度中间算子在多属性决策中的应用

侯芳;郭亚军;   

  1. 东北大学工商管理学院;
  • 收稿日期:2013-06-22 修回日期:2013-06-22 出版日期:2008-10-15 发布日期:2013-06-22
  • 通讯作者: Hou, F.
  • 作者简介:-
  • 基金资助:
    国家自然科学基金资助项目(70472032)

Interval number density middle operator in uncertain multiple attribute decision making

Hou, Fang (1); Guo, Ya-Jun (1)   

  1. (1) School of Business Administration, Northeastern University, Shenyang 110004, China
  • Received:2013-06-22 Revised:2013-06-22 Online:2008-10-15 Published:2013-06-22
  • Contact: Hou, F.
  • About author:-
  • Supported by:
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摘要： 针对群决策中的决策者群体偏好信息分布问题,研究了不确定多属性决策密度中间算子,把实数密度中间算子扩展到区间数密度中间算子.给出了区间数密度算子权向量的确定方法及具体过程.提出了区间数密度算子(IDM算子),定义了区间数密度加权平均中间算子(IDWA算子)和区间数密度加权几何平均中间算子(IDWGA算子),给出基于区间数密度算子的合成算子:密度算术加权平均算子(IDWAWAA算子)和密度有序加权平均算子(IDWGAOWA算子),最后用实例对算子密度权向量的确定进行了说明.

关键词: 区间数, 密度权向量, 密度中间算子, IDM算子, 合成算子

Abstract: Considering the information distribution on the decision makers' preference, the problem of density weighted averaging middle operator in uncertain multiple attribute decision making is investigated to find out the procedure to determine the weight vector of interval number density operator by extending the middle operator of density of real numbers to that of interval numbers. An interval number density middle (IDM) operator is thus proposed with the interval number density weighted average (IDWA) operator and the interval number density weighted geometric average (IDWGA) operator both defined to give the synthesized operators based on IDM operator, i.e., the arithmetically weighted IDWA or IDWAWAA operator and the orderly weighted IDWGA or IDWGAOWA operator. A numerical example is given to illustrate how to determine the density weight vector of operators.

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