| 基于区间值直觉模糊集的TOPSIS多属性决策 |
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| 引用本文： | 谭春桥.基于区间值直觉模糊集的TOPSIS多属性决策[J].模糊系统与数学,2010,24(1). |
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| 作者姓名： | 谭春桥 |
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| 作者单位： | 中南大学,商学院,湖南,长沙,410083 |
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| 基金项目： | 国家自然科学基金资助项目(70631004;70801064) |
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| 摘 要： | 基于区间值直觉模糊集,提出了一种新的TOPSIS模糊多属性决策方法。首先介绍区间直觉模糊集的概念,定义了两个区间值直觉模糊集之间的距离;然后根据TOPSIS方法的原理,定义了两个区间值直觉模糊集的接近系数,通过计算备选方案到区间值直觉模糊正理想解和负理想解的距离来确定接近系数,从而判断备选方案的优劣次序。最后,通过一个具体实例来说明这种方法的有效性和具体计算过程。
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| 关 键 词： | 模糊多属性决策 TOPSIS方法 区间值直觉模糊集 区间值直觉模糊距离 |
TOPSIS Multiple Attribute Decision Making Based on Interval-valued Intuitionistic Fuzzy Sets |
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| TAN Chun-qiao.TOPSIS Multiple Attribute Decision Making Based on Interval-valued Intuitionistic Fuzzy Sets[J].Fuzzy Systems and Mathematics,2010,24(1). |
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| Authors: | TAN Chun-qiao |
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| Institution: | School of Business/a>;Central South University/a>;Changsha 410083/a>;China |
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| Abstract: | Based on interval valued intuitionistic fuzzy sets,a new TOPSIS method for multiple attribute decision making is investigated.Firstly,the concept of interval-valued intuitionistic fuzzy sets is introduced.The distance between two interval valued intuitionistic fuzzy sets is defined.Then,according to the principle of the TOPSIS,a closeness coefficient is defined to determine the ranking order of all alternatives by calculating the distances to both the interval valued intuitionistic fuzzy positive-ideal solu... |
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| Keywords: | Fuzzy Multiple Attribute Decision Making TOPSIS Method Interval-valued Intuitionistic Fuzzy Sets Interval-valued Intuitionistic Fuzzy Distance |
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