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
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)。 ()