| Fuzzy测度的弱收敛性 |
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| 引用本文： | 花文秀,黎钜鲇.Fuzzy测度的弱收敛性[J].河南师范大学学报(自然科学版),1986(4). |
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| 作者姓名： | 花文秀 黎钜鲇 |
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| 作者单位： | 淮阴师专，河南师范大学数学系 |
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| 摘 要： | 本文在Sugeno定义的Fuzzy测度和Fuzzy积分基础上的,定义了Fuzzy测度的弱收敛性,证明了Fuzzy测度弱收敛性的若干性质;同时还证明了;如果连续函数f将可测空间(z,φ)映射为可测空间(z′,φ′)则在(z,φ)上的Fuzzy测度g_ng的充要条件是在(z′,φ′)上的Fuzzy测度g_nf~(-1)gf~(-1).
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WEAK CONVERGENCE OF FUZZY MEASURES |
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| Abstract: | In this paper, We have estabeished weak converganee of fuzzy measures, which is based on the sugeno's fuzzy maesures and inzzy integraes, proved some Properties of weak convergence of fuzzy measures, and further more proved, if f is a continuous mapping of fuzzy measurable space ( X.φ) into ( X.φ).the gag on (X.φ), if and only if g_nf~(-1)gf~(-1)on( X',φ') |
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