On research of variable precision rough fuzzy set model

Computer Engineering and Applications ›› 2007, Vol. 43 ›› Issue (23): 15-17.

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On research of variable precision rough fuzzy set model

SUN Shi-bao^1,2，LIU Rui-xin³，QIN Ke-yun²

1.Electronic Information Engineering College，Henan University of Science and Technology，Luoyang，Henan 471003，China
2.Intelligent Control Development Center，Southwest Jiaotong University，Chengdu 610031，China
3.Department of Information Engineering，Yellow River Conservancy Technical Institute，Kaifeng，Henan 475000，China

Received:1900-01-01 Revised:1900-01-01 Online:2007-08-11 Published:2007-08-11
Contact: SUN Shi-bao

变精度粗糙模糊集模型研究

孙士保^1,2，刘瑞新³，秦克云²

1.河南科技大学电子信息工程学院，河南洛阳 471003
2.西南交通大学智能控制开发中心，成都 610031
3.黄河水利职业技术学院信息工程系，河南开封 475000

通讯作者: 孙士保

Abstract

Abstract: Ziarko’s variable precision rough set model and rough fuzzy set model are introduced and the drawbacks of them are found.Based on support relative error ratio and error parameter β（0≤β<0.5），the variable precision rough fuzzy set model is proposed.The basic properties of approximation operators are investigated.The relation between this model and Ziarko’s variable precision rough set model and rough fuzzy set model is analysed in detail.Finally，the definitions and the approaches of approximation reduction are discussed，an example is given to illustrate the validity of the presented algorithms.

Key words: variable precision rough set, rough fuzzy set, variable precision rough fuzzy set, approximation reduction

摘要： 介绍了Ziarko’s变精度粗糙集模型和粗糙模糊集模型，找出了它们的不足。基于支集相对错误分类率及误差参数β（0≤β<0.5），提出了变精度粗糙模糊集模型，讨论了模型中β上、下近似算子的性质;分析了该模型与Ziarko’s变精度粗糙集模型和粗糙模糊集模型的关系;最后给出了该模型中近似约简的定义和方法，并通过实例分析说明了约简算法的有效性。

关键词: 变精度粗糙集, 粗糙模糊集, 变精度粗糙模糊集, 近似约简

SUN Shi-bao^1,2，LIU Rui-xin³，QIN Ke-yun². On research of variable precision rough fuzzy set model[J]. Computer Engineering and Applications, 2007, 43(23): 15-17.

孙士保^1,2，刘瑞新³，秦克云². 变精度粗糙模糊集模型研究[J]. 计算机工程与应用, 2007, 43(23): 15-17.

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On research of variable precision rough fuzzy set model

变精度粗糙模糊集模型研究

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