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属性干涉的系统f-分解规律矩阵

f-decomposition Law Matrix of System of Attribute Interfere

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【作者】 杜素勤

【Author】 DU Su-qin;IOT Application Engineering Research Center of Fujian Province Colleges and Universities,School of Information Engineering,Sanming University;

【机构】 三明学院信息工程学院,物联网应用福建省高校工程研究中心

【摘要】 函数S-粗集(function singular rough sets)是改进S-粗集(singular rough sets)被提出的,S-粗集是改进Z.pawlak粗集得到的;函数S-粗集具有动态特性、规律(函数)特性。利用函数S-粗集的动态特性、规律特性,给出函数等价类的f-属性干涉分解,f-属性干涉分解向量,f-属性干涉分解矩阵;系统规律f-分解,f-分解规律向量,f-分解规律矩阵,系统规律与分解系统规律的f-关系矩阵的概念;利用这些概念给出系统规律与f-分解规律矩阵的应用。系统规律f-分解,f-分解规律向量,f-分解规律矩阵的属性满足属性合取范式(attribute of conjunctive normal form)。

【Abstract】 Function singular rough sets are put forward to improve singular rough sets,singular rough sets are proposed from Z.Pawlak sets for improvement,also;function singular rough sets has dynamic characteristics and law(function)characteristics.Using dynamic and law characteristics,the concept of f-attribute interfere decomposition,f-attribute interfere decomposition vector,f-attribute interfere decomposition matrix of function equivalence class are presented;the notion of f-decomposition of system law,f-decomposition law vector,f-decomposition law matrix,f-relational matrix of system law and its decomposition system law are raised;the application of system law and f-decomposition law matrix are given also by the conceptions.The attribute of f-decomposition of system law,f-decomposition law vector and f-decomposition law matrix conform to the attribute of conjunctive normal form.

【基金】 三明学院自然科学基金资助项目(B201101/G);福建省教育厅A类科技项目(JK2012051)
  • 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2015年02期
  • 【分类号】O144;O159
  • 【下载频次】25
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