| 模糊数排序的一种新方法 |
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| 引用本文： | 许瑞丽,徐泽水.模糊数排序的一种新方法[J].数学的实践与认识,2008,38(17). |
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| 作者姓名： | 许瑞丽 徐泽水 |
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| 作者单位： | 解放军理工大学理学院,南京,211101 |
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| 摘 要： | 给出了模糊数排序的一种新方法,并且详细研究了它的一些性质.该方法不仅可以对隶属函数为三角形、梯形等较特殊形式的模糊数进行排序,而且还可以比较隶属函数为多个分段单调函数的模糊数,同时它也考虑了决策者的风险态度.最后进行了算例分析.
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| 关 键 词： | 模糊数 排序 隶属函数 风险态度 单调函数 |
A New Method for Ranking Fuzzy Numbers |
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| XU Rui-li,XU Ze-shui.A New Method for Ranking Fuzzy Numbers[J].Mathematics in Practice and Theory,2008,38(17). |
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| Authors: | XU Rui-li XU Ze-shui |
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| Abstract: | A new method for ranking fuzzy numbers is proposed,and some of its desirable properties are studied.The method can not only rank fuzzy numbers with the membership functions taking some special forms,such as triangular,trapezoidal,etc,but also can compare those fuzzy numbers whose membership functions are subsection-monotone functions.At the same time,it can also consider the decision maker′s risk attitude.Finally,some illustrative examples are given. |
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| Keywords: | fuzzy numbers rank membership function risk attitude monotone function |
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