| 一种基于不完备直觉模糊信息的TOPSIS方法 |
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| 引用本文： | 史战红,张定海,刘坤.一种基于不完备直觉模糊信息的TOPSIS方法[J].数学的实践与认识,2012,42(19). |
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| 作者姓名： | 史战红 张定海 刘坤 |
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| 作者单位： | 1. 甘肃农业大学理学院,甘肃兰州,730070
2. 陇东学院数学与统计学院,甘肃庆阳,745000 |
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| 基金项目： | 国家自然科学基金，甘肃农业大学创新基金 |
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| 摘 要： | 多属性决策过程中,每个方案的属性值有时体现为由直觉模糊数所刻划的语言变量,通过定义直觉模糊数间的距离,首先提出了基于直觉模糊数的TOPSIS方法;其次,考虑到在实际问题中往往会遇到不完备直觉模糊信息的事实,提出一种将不完备直觉模糊数完备化的方法,并建立了基于不完备直觉模糊信息的TOPSIS方法,同时通过实例说明该方法的有效性以及在多属性决策中的应用.
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| 关 键 词： | 直觉模糊数 多属性决策 不完备直觉模糊数 |
A TOPSIS Method Based on Incomplete Intuitionistic Fuzzy Information |
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| SHI Zhan-hong
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ZHANG Ding-hai
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LIN Kun.A TOPSIS Method Based on Incomplete Intuitionistic Fuzzy Information[J].Mathematics in Practice and Theory,2012,42(19). |
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| Authors: | SHI Zhan-hong ZHANG Ding-hai LIN Kun |
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| Abstract: | decision-making,the evaluation of each alternative with respect to each criterion and the weights of each criterion are usually given as linguistic terms characterized by intuitionistic fuzzy numbers.Using the multiplication of intuitionistic fuzzy numbers and the defined distance between them,the TOPSIS method with intuitionistic fuzzy numbers is proposed firstly.Considering the fact that,in the practical application,we usually have incomplete other than complete information.We present an approach to complete incomplete intuitionistic fuzzy numbers and the TOPSIS method with incomplete intuitionistic fuzzy numbers is also proposed.At the same time,the numerical examples are given to illustrate the feasibility of the proposed approaches. |
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| Keywords: | intuitionistic fuzzy number multiple-attribute decision-making incomplete intuitionistic fuzzy number |
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