| | | | | Fuzzy子集贴近度研究 | | | 周先汉 | | | 指出由现贴近度公理支持的算法出现的一类反常现象,建立了从严界定零贴近度、并融入相似原理的公理体系;分析了普遍应用的Hammin贴近度算法的不足,进而提出一种贴切、实用、更具适应性的算法N_L;最后,定义了p一测度贴近度N_(mp),并导出N_(mp)与N_L的一致性条件。
【作者单位】：安徽工学院动力机械系
【关键词】：贴近度;公理体系;测度;Lebesgue积分;一致性条件
【分类号】：O159
【DOI】：cnki:ISSN:1000-2189.0.1991-04-015
【正文快照】：
l公理体系 定义1设F(x)是论域X上的模糊幂集,对于任意的A、BoF(X),映射N:F“(x)一〔O,l〕,如果N同时满足以下公理,则称N(A,B)为A、B的贴近度。 公理(1)N(A,A)=1 (2)N(A,B)=N(B,A) (3)N(x;功)=0功为空集 (4)若CgBgA,则N(A,C)簇N(A,B) 上述公理广见于多种文献[‘川21,由这组公理 | | |
| | |  推荐 下载CAJ全文  下载PDF全文 | | | CAJViewer7.0阅读器支持所有CNKI文件格式，AdobeReader仅支持PDF格式 | | | | STUDY AND ANALYSIS ON THE NEARNESS FOR FUZZY SUBETS | | | Zhou Xianhan Department of Power Machinery | | | In this paper, a type of unussual case arisen from the algorithmsfor nearness on the basis of existing axiom was pointed out, The system of axiomdemarcating zero value strictly and includingthe the principle of similarity wasset up. The author analysed some deficiencies about Hammin's algorithm which isapplied universally. And then a new algorithm NL was advanced. This method issuitable, practical and more adeptable. Further, p-nearness with measure N_(mp) wasdefined, The conditions of identity between N_(mp) and N_1 were also deduced.
【Keyword】：nearness;system of axiom;measure, Lebesgue's integral;condition of identity |
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