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灰色关联投影下的模糊多属性群决策方法

王海元 韩二东

计算机工程与应用2016,Vol.52Issue(19):222-227,240,7.
计算机工程与应用2016,Vol.52Issue(19):222-227,240,7.DOI:10.3778/j.issn.1002-8331.1603-0068

灰色关联投影下的模糊多属性群决策方法

Fuzzy multi-attribute group decision making method based on grey relation projec-tion

王海元 1韩二东2

作者信息

  • 1. 西京学院 管理工程系,西安 710123
  • 2. 西北工业大学 管理学院,西安 710072
  • 折叠

摘要

Abstract

With respect to multi-attribute group decision making problem with interval-valued intuitionistic trapezoidal fuzzy assessment information, a grey relation-projection method is proposed. On the basis of standardized decision matrixes, negative extreme decision matrix and average decision matrix are defined according to the distance between every deci-sion matrix and two types of decision matrices, decision maker weights are determined. Group decision matrix is deter-mined based on decision-maker weights and interval-valued intuitionistic trapezoidal fuzzy number weighted arithmetic averaging operator. Basing on the minimization of relative similarity degree between each alternative and the positive(or negative)ideal alternative to get attribute weights, the positive ideal alternative is seen as the reference sequence, grey relational coefficient of attributes between each alternative and positive ideal alternative, grey relation-projection of every attributes to positive ideal alternative. A ranking of alternatives is determined by projected values of the alternatives. Finally, the selection decision problem of air conditioning system of frozen storage is given to illustrate the effectiveness and feasi-bility of the proposed method.

关键词

多属性群决策/区间直觉梯形模糊数/平均决策矩阵/灰关联投影

Key words

multiple attribute group decision making/interval-valued intuitionistic trapezoidal fuzzy number/average de-cision matrix/grey relation projection

分类

管理科学

引用本文复制引用

王海元,韩二东..灰色关联投影下的模糊多属性群决策方法[J].计算机工程与应用,2016,52(19):222-227,240,7.

基金项目

国家自然科学基金(No.71404142)。 ()

计算机工程与应用

OA北大核心CSCDCSTPCD

1002-8331

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