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Rough function model and rough membership function

Journal of Systems Engineering and Electronics 2008年第3期19卷 522-528页

作者： Wang Yun Guan Yanyong Huang Zhiqin School of Science Univ. of Jinan Jinan 250022 P. R. China

Two pairs of approximation operators, which are the scale lower and upper approximations as well as the real line lower and upper approximations, are defined. Their properties and antithesis characteristics are analyzed. The rough function model is generalized based on rough set theory, and the scheme of rough function theory is made more distinct and complete. Therefore, the transformation of the real function analysis from real line to scale is achieved. A series of basic concepts in rough function model including rough numbers, rough intervals, and rough membership functions are defined in the new scheme of the rough function model. Operating properties of rough intervals similar to rough sets are obtained. The relationship of rough inclusion and rough equality of rough intervals is defined by two kinds of tools, known as the lower （upper） approximation operator in real numbers domain and rough membership functions. Their relative properties are analyzed and proved strictly, which provides necessary theoretical foundation and technical support for the further discussion of properties and practical application of the rough function model.

关键词： rough set theory rough function model indiscernibility relation rough membership function roughnumber rough interval.

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Clustering Analysis with Information System Approaches

Clustering Analysis with Information System Approaches

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2011 Chinese Control and Decision Conference（CCDC）

作者： Lishi Zhang,Xianchang Wang,and Xueda Zhao

With the large number of attributes,clustering analysis of data is involved into the reduction of its attributes The main task of the present work is to construct a novel clustering analysis method motivated by the fundamental idea from information system,the computer simulation shows that the reduction of attributes gives a better accuracy of clustering rate.

关键词： Reduction of attribute Information system indiscernibility relation

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