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基于新型区间直觉三角模糊熵的多属性决策方法
引用本文:周晓辉,姚俭,吴天魁.基于新型区间直觉三角模糊熵的多属性决策方法[J].数学理论与应用,2013(4):65-72.
作者姓名:周晓辉  姚俭  吴天魁
作者单位:上海理工大学管理学院,上海200093
摘    要:在进行区间直觉模糊多属性决策时,有时属性权重是未知的,针对这一问题,提出一种新型区间直觉三角模糊熵的决策方法.首先,给出该新型区间直觉三角模糊熵定义和相关定理,应用该区间直觉三角模糊熵确定属性的权重.然后,基于逼近理想解排序法(TOPSIS)的思想,采用改进的加权欧几里得距离,进行区间直觉模糊群决策,并给出决策步骤.最后,将该方法应用在供应链选择的群决策问题中,通过算例实验验证了该方法的有效性与可行性.

关 键 词:区间直觉模糊数  区间直觉模糊熵  多属性决策  TOPSIS

Multi- Attribute Decision Making Based on a New Interval- valued Intuitionistic Triangle Fuzzy Entropy
Zhou Xiaohui Yao Jian Wu Tiankui.Multi- Attribute Decision Making Based on a New Interval- valued Intuitionistic Triangle Fuzzy Entropy[J].Mathematical Theory and Applications,2013(4):65-72.
Authors:Zhou Xiaohui Yao Jian Wu Tiankui
Institution:Zhou Xiaohui Yao Jian Wu Tiankui (Business School, University of Shanghai for and Technology, Shanghai 200093, China)
Abstract:In this paper, a new type of interval - valued intuitionistic fuzzy entropy decision making method is pro posed to solve the interval valued intuitionistie fuzzy multiple attribute problems where the attribute weights are un known. Firstly, we define the interval - valued intuitionistie triangular fuzzy entropy and calculate the attribute weights. And then, using the TOPSIS and the improved weighted Euclidean distance, we give the interval - valued intuitionistic fuzzy group decision - making steps. The method is applied in a supply chain selection group decision - making problem. In addition, a numerical example is provided to verify the effectiveness of the developed approach.
Keywords:Interval intuitionistic fuzzy numbers Interval intuitionistic fuzzy entropy Multiple attribute decisionmaking TOPSIS
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