[1]刘洪伟,王艳平.区间直觉模糊粗糙集的不确定性研究[J].智能系统学报,2014,9(5):613-617.[doi:10.3969/j.issn.1673-4785.201307007]
LIU Hongwei,WANG Yanping.Research on uncertainty of interval-valued intuitionistic fuzzy rough sets[J].CAAI Transactions on Intelligent Systems,2014,9(5):613-617.[doi:10.3969/j.issn.1673-4785.201307007]
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LIU Hongwei,WANG Yanping.Research on uncertainty of interval-valued intuitionistic fuzzy rough sets[J].CAAI Transactions on Intelligent Systems,2014,9(5):613-617.[doi:10.3969/j.issn.1673-4785.201307007]
区间直觉模糊粗糙集的不确定性研究
《智能系统学报》[ISSN 1673-4785/CN 23-1538/TP] 卷:
9
期数:
2014年第5期
页码:
613-617
栏目:
学术论文—人工智能基础
出版日期:
2014-10-25
- Title:
- Research on uncertainty of interval-valued intuitionistic fuzzy rough sets
- Keywords:
- rough sets; fuzzy sets; interval-valued intuitionistic fuzzy sets; interval-value intuitionistic fuzzy information system; interval-valued intuitionistic fuzzy relations; approximation operators; interval-valued intuitionistic fuzzy entropy; rough membership fun
- 分类号:
- TP301;O236
- 摘要:
- 对区间直觉模糊信息系统中近似集的不确定性进行了研究,给出了区间直觉模糊粗糙集的不确定性度量公式。首先在区间直觉模糊近似空间中,定义了一对具有对称性的新的区间直觉模糊上、下近似算子;其次给出了区间直觉模糊集粗糙隶属函数的定义并讨论了相关性质;最后利用区间直觉模糊粗糙隶属函数的区间直觉模糊熵,定义了区间直觉模糊粗糙集的模糊熵,并讨论了区间直觉模糊粗糙集的模糊熵为零的充要条件,证明了在区间直觉模糊近似空间中经典集合和它的余集的粗糙度量是相等的,以此说明定义的合理性。
- Abstract:
- The uncertainty of an approximate set in interval-value intuitionistic fuzzy information system is researched in this paper and the uncertainty measurement formula of interval-value intuitionistic fuzzy rough sets are given. Firstly, a pair of new interval-value intuitionistic fuzzy upper and lower approximation operators with symmetry is defined in the interval-value intuitionistic fuzzy approximation space. Secondly, the corresponding definition of rough membership functions on interval-value intuitionistic fuzzy is given and properties are discussed. Finally, the fuzzy entropy of interval-value intuitionistic fuzzy rough set is defined by interval-value intuitionistic fuzzy entropy of the interval-value intuitionistic fuzzy rough membership functions. The necessary and sufficient conditions when the fuzzy entropy on interval intuitice fuzzy rough set is zero are discussed. In addition, the rough measurement values of classic set and residual set are equal in the interval-value intuitionistic fuzzy approximate space, thereby proving the rationality of the definition.
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备注/Memo
收稿日期:2013-07-05。
基金项目:辽宁省教育厅基金资助项目(L2012226).
作者简介:刘洪伟, 女, 1989年生, 硕士研究生, 主要研究方向为粗糙集理论, 模糊集理论。
通讯作者:王艳平, 女, 1965年生, 教授, 主要研究方向为粗糙集理论, 模糊集理论, 发表学术论文30余篇。E-mail:weiyanping65@yahoo.com.cn.
更新日期/Last Update:
1900-01-01