To study the problem of knowledge translation in fuzzy approximation spaces, the concept of rough communication of crisp set in fuzzy approximation spaces is proposed. In a rough communication of crisp set in fuzzy ap...To study the problem of knowledge translation in fuzzy approximation spaces, the concept of rough communication of crisp set in fuzzy approximation spaces is proposed. In a rough communication of crisp set in fuzzy approximation spaces, the problem of uncertainty exists, for each agent has a different language and cannot provide precise communication to each other. By means of some concepts, such as CF rough communication cut, which is a bridge between fuzzy concept and crisp concept, cut analysis of CF rough communication is made, and the relation theorem between CF rough communication and rough communication of crisp concept is obtained. Finally, in order to give an intuitive analysis of the relation between CF rough communication and rough communication of crisp concept, an example is given.展开更多
模糊目标信息系统(fuzzy objective information systems,简称FOISs)在许多实际应用中存在,这种系统上的知识简化不能采用Pawlak信息系统上的约简方法.因此,提出了模糊目标信息系统上的a分布约简、a最大分布约简、a分配约简、粗糙分布约...模糊目标信息系统(fuzzy objective information systems,简称FOISs)在许多实际应用中存在,这种系统上的知识简化不能采用Pawlak信息系统上的约简方法.因此,提出了模糊目标信息系统上的a分布约简、a最大分布约简、a分配约简、粗糙分布约简,并给出了它们的性质以及与Pawlak信息系统上约简的关系,同时也给出了这些约简的判定定理、对应的可辨识矩阵、约简公式.这些约简推广了Pawlak信息系统上的知识约简方法,为模糊目标信息系统上的知识发现和基于粗糙模糊规则的模糊概念分类器提供了新的低复杂性手段.展开更多
Based on fuzzy set theory this paper gives decomposition theorem in Vague sets, and by discussing themeasures of similarity of Vague sets this paper presents a new kind of the measure. The results can be used for fur-...Based on fuzzy set theory this paper gives decomposition theorem in Vague sets, and by discussing themeasures of similarity of Vague sets this paper presents a new kind of the measure. The results can be used for fur-ther research and applications of Vague sets.展开更多
基金supported by the Natural Science Foundation of Shandong Province (Y2006A12)the Scientific Research Development Project of Shandong Provincial Education Department (J06P01)+2 种基金the Science and Technology Foundation of Universityof Jinan (XKY0808 XKY0703)the Doctoral Foundation of University of Jinan (B0633).
文摘To study the problem of knowledge translation in fuzzy approximation spaces, the concept of rough communication of crisp set in fuzzy approximation spaces is proposed. In a rough communication of crisp set in fuzzy approximation spaces, the problem of uncertainty exists, for each agent has a different language and cannot provide precise communication to each other. By means of some concepts, such as CF rough communication cut, which is a bridge between fuzzy concept and crisp concept, cut analysis of CF rough communication is made, and the relation theorem between CF rough communication and rough communication of crisp concept is obtained. Finally, in order to give an intuitive analysis of the relation between CF rough communication and rough communication of crisp concept, an example is given.
文摘模糊目标信息系统(fuzzy objective information systems,简称FOISs)在许多实际应用中存在,这种系统上的知识简化不能采用Pawlak信息系统上的约简方法.因此,提出了模糊目标信息系统上的a分布约简、a最大分布约简、a分配约简、粗糙分布约简,并给出了它们的性质以及与Pawlak信息系统上约简的关系,同时也给出了这些约简的判定定理、对应的可辨识矩阵、约简公式.这些约简推广了Pawlak信息系统上的知识约简方法,为模糊目标信息系统上的知识发现和基于粗糙模糊规则的模糊概念分类器提供了新的低复杂性手段.
文摘Based on fuzzy set theory this paper gives decomposition theorem in Vague sets, and by discussing themeasures of similarity of Vague sets this paper presents a new kind of the measure. The results can be used for fur-ther research and applications of Vague sets.
