| 基于包含度的区间二型模糊粗糙集 |
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| 引用本文： | 赵涛,肖建.基于包含度的区间二型模糊粗糙集[J].自动化学报,2013,39(10):1714-1721. |
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| 作者姓名： | 赵涛 肖建 |
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| 作者单位： | 1.西南交通大学交通运输与物流学院 成都 610031; |
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| 基金项目： | 国家自然科学基金(51177137, 61134001),中央高校基本科研业务费专项资金项(SWJTU11CX034)资助 |
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| 摘 要： | 基于区间二型模糊包含度的公理化定义,给出了新的区间二型模糊包含度计算公式.进一步,通过包含度定义了区间二型模糊粗糙集,并讨论了它的一些基本性质.最后,利用区间二型模糊粗糙集研究了连续域决策信息系统的属性约简,给出了新的约简方法.实例说明了该约简方法的具体计算步骤,并且通过实验验证了该算法的有效性和可行性.
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| 关 键 词： | 区间二型模糊粗糙集 区间二型模糊集 包含度 信息系统 属性约简 |
| 收稿时间： | 2012-02-24 |
Interval Type-2 Fuzzy Rough Sets Based on Inclusion Measures |
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| ZHAO Tao,XIAO Jian.Interval Type-2 Fuzzy Rough Sets Based on Inclusion Measures[J].Acta Automatica Sinica,2013,39(10):1714-1721. |
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| Authors: | ZHAO Tao XIAO Jian |
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| Affiliation: | 1.School of Transportation and Logistics, Southwest Jiaotong University, Chengdu 610031;2.School of Electrical Engineering, Southwest Jiaotong University, Chengdu 610031 |
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| Abstract: | In this paper, a new computation formula of interval type-2 fuzzy inclusion measure is proposed on the basis of the axiom definition of interval type-2 fuzzy inclusion measures. Furthermore, we define an interval type-2 fuzzy rough set model on the basis of inclusion measure and study its basic properties. In the end, the attribute reduction of continuous domain decision information system is discussed and the method on appropriate reduction is given. Further, we present calculation steps of the reduction approach by an example and experimental results demonstrate the feasibility and effectiveness of the reduction algorithm. |
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| Keywords: | Interval type-2 fuzzy rough sets interval type-2 fuzzy sets inclusion measure information systems attribute reduction |
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