| 模糊数的积分变换 |
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| 引用本文： | 田增锋,胡良剑.模糊数的积分变换[J].模糊系统与数学,2009,23(6). |
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| 作者姓名： | 田增锋 胡良剑 |
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| 作者单位： | 1. 浙江万里学院,基础学院,浙江,宁波,315101
2. 东华大学,应用数学系,上海,201600 |
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| 摘 要： | 使用模糊数的联合隶属函数定义了模糊数的积分变换和逆积分变换,证明了模糊数在积分变换后的模糊数与原模糊数有相同的支撑与核.另外讨论了在积分变换和逆积分变换下保持不变时积分中基函数满足的充要条件,最后给出积分变换的两个应用.
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| 关 键 词： | 模糊数 联合隶属函数 截集 积分变换 |
Integral Transform of Fuzzy Numbers |
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| TIAN Zeng-feng,HU Liang-jian.Integral Transform of Fuzzy Numbers[J].Fuzzy Systems and Mathematics,2009,23(6). |
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| Authors: | TIAN Zeng-feng HU Liang-jian |
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| Abstract: | Integral transform and inverse integral transform of fuzzy numbers are defined by using the joint membership of two fuzzy numbers. It is proved that the fuzzy number obtained by integral transforming a fuzzy number has the same support and kernel as that of the original one. Moreover, a necessary and sufficient condition under that a given fuzzy number with bounded support will not changed after integral transforming and inverse integral transforming is given. Additionally, two applications illustrate integral transform of of fuzzy numbers. |
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| Keywords: | Fuzzy Number Joint Membership Cut-sets Integral Transform |
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