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模糊相似关系下变精度模糊粗糙集

邓廷权 杨成东 张月童

智能系统学报2012,Vol.7Issue(2):148-152,5.
智能系统学报2012,Vol.7Issue(2):148-152,5.DOI:10.3969/j.issn.1673-4785.201009010

模糊相似关系下变精度模糊粗糙集

Fuzzy similarity relation based variable precision fuzzy rough sets

邓廷权 1杨成东 2张月童2

作者信息

  • 1. 哈尔滨工程大学理学院,黑龙江哈尔滨150001
  • 2. 哈尔滨工程大学计算机科学与技术学院,黑龙江哈尔滨150001
  • 折叠

摘要

Abstract

A classical variable precision fuzzy rough set was built on the basis of fuzzy equivalent relationships. Nonetheless, it is hard to directly obtain the fuzzy equivalent relationships, which are usually replaced by a closure of fuzzy equivalent relationships, and this method causes a loss of much valuable information and increases the computation complexity in the application of the fuzzy rough set. This paper first took advantage of a fuzzy logical operator to construct fuzzy relative error rates of classification, and then proposed a variable precision fuzzy rough set model based on fuzzy similarity relationships. Moreover, the properties of this model were investigated. On the one hand, the model is able to deal with noise data with the advantages of variable precision rough sets; on the other hand, since it is based on fuzzy similarity relationships, the model could be applied more widely.

关键词

变精度粗糙集/模糊相似关系/相对错误包含度/模糊逻辑算子/模糊粗糙集

Key words

variable precision rough sets/ fuzzy similarity relation/ relative error rates of classification/ fuzzy logical operator/ fuzzy rough sets

分类

信息技术与安全科学

引用本文复制引用

邓廷权,杨成东,张月童..模糊相似关系下变精度模糊粗糙集[J].智能系统学报,2012,7(2):148-152,5.

基金项目

国家自然科学基金资助项目(10771043) (10771043)

水下机器人国防技术重点实验室基金资助项目(002010260730). (002010260730)

智能系统学报

OA北大核心CSCDCSTPCD

1673-4785

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