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基于直觉梯形模糊TOPSIS的多属性群决策方法
引用本文:陈晓红,李喜华.基于直觉梯形模糊TOPSIS的多属性群决策方法[J].控制与决策,2013,28(9):1377-1381.
作者姓名:陈晓红  李喜华
作者单位:中南大学商学院,长沙,410083
基金项目:国家自然科学基金创新群体科学基金项目
摘    要:提出一种改进的逼近理想解排序(TOPSIS)方法,即直觉梯形模糊TOPSIS多属性群决策方法。首先,应用直觉梯形模糊数形式表示方案属性偏好和属性权重信息且专家权重完全未知;然后,利用直觉梯形模糊数间距离测度和期望值及直觉梯形模糊加权平均算子来确定决策者权重信息和属性权重信息;进而给出直觉梯形模糊环境下方案优选的算法;最后,通过算例进一步说明了该直觉梯形模糊TOPSIS方法的有效性。

关 键 词:逼近理想解排序法  直觉梯形模糊数  群决策  距离测度
收稿时间:2012/5/2 0:00:00
修稿时间:2012/7/31 0:00:00

Group decision making based on novel trapezoidal intuitionistic fuzzy TOPSIS method
CHEN Xiao-hong,LI Xi-hua.Group decision making based on novel trapezoidal intuitionistic fuzzy TOPSIS method[J].Control and Decision,2013,28(9):1377-1381.
Authors:CHEN Xiao-hong  LI Xi-hua
Abstract:

An extension of TOPSIS, a novel trapezoidal intuitionistic fuzzy TOPSIS method for group decision making
is investigated. The preference values for an alternative on criteria and the weight values of criteria are given by experts
represented with trapezoidal intuitionistic fuzzy numbers and weights of decision makers are unknown. Distance measures,
expected values and weighted averaging operator for trapezoidal intuitionistic fuzzy numbers are used to induce the weight
values of criteria and decision makers. Then an algorithm is developed for ranking alternatives under the trapezoidal
intuitionistic fuzzy environment. Finally, the result of numerical example further illustrates the effectiveness of the proposed
extended TOPSIS method.

Keywords:technique for order preference by similarity to ideal solution  trapezoidal intuitionistic fuzzy numbers  group decision making  distance measures
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