|
|
论文:2016,Vol:34,Issue(4):642-649 |
|
|
引用本文： |
|
|
陈鹏岗, 冯晓毅, 毛晓菲. 覆盖空间下粗糙集和Vague软集融合方法研究[J]. 西北工业大学学报 |
|
|
Chen Penggang, Feng Xiaoyi, Mao Xiaofei. Integrating of Rough Sets and Vague Soft Sets Theory in Covering Approximation Space[J]. Northwestern polytechnical university |
|
|
|
|
|
|
|
| 覆盖空间下粗糙集和Vague软集融合方法研究 |
|
| 陈鹏岗, 冯晓毅, 毛晓菲 |
|
| 西北工业大学 电子信息学院, 陕西 西安 710072 |
| 摘要: |
| 针对覆盖近似空间下粗糙集、Vague集和软集3种不确定性理论方法融合扩展的问题，提出了一种新的基于近邻域的覆盖粗糙Vague软集模型，并讨论了相关性质。又针对该模型的不确定性度量问题，定义了一种新的覆盖粗糙Vague软集的不确定性度量方法。该方法通过引入覆盖粒度空间下知识熵的概念定义覆盖粒度空间的不确定程度，同时采用粗糙度定义覆盖粗糙Vague软集本身的粗糙性，最后将二者结合度量覆盖粗糙Vague软集的不确定性程度。算例分析表明，该度量方法是有效可行的，并且随着覆盖粒度的增大覆盖粗糙Vague软集的不确定性程度也随之增大。覆盖粗糙Vague软集模型在胃电信号（EGG）分析及胃疾病辅助诊断问题研究中有很好的应用前景。 |
| 关键词:
覆盖粗糙集
Vague集
软集
不确定性
|
|
| Integrating of Rough Sets and Vague Soft Sets Theory in Covering Approximation Space |
|
| Chen Penggang, Feng Xiaoyi, Mao Xiaofei |
|
| School of Electronics and Information, Northwestern Polytechnical University, Xi'an 710072, China |
| Abstract: |
| Proposed in this paper is a novel covering rough Vague soft sets model based on neighbor domain and some related properties, which is applied to the problem of integrating rough sets ,Vague sets and soft sets theory in covering approximation space. At the same time, a new uncertainty measurement method is defined, which is applied to the problem of uncertainty measurement for covering rough Vague soft sets. In this method, first, the uncertainty of covering granular space based on knowledge entropy in covering granular space is defined. Next, the roughness for covering rough Vague soft sets itself is defined based on roughness. Then, the knowledge entropy in covering granular space and roughness for covering rough Vague soft sets are combinatively used to measure the uncertainty degree for covering rough Vague soft sets model. Experimental results show that this method is effective and practical, and the uncertainty degree for the covering rough Vague soft sets increase with the increase of the covering granularity. Experimental results show that the covering rough Vague soft sets has good application prospect in EGG analysis and the auxiliary diagnosis problem . |
| Key words:
covering rough sets
Vague sets
soft sets
uncertainty
|
|
| 收稿日期: 2015-09-24
修回日期:
|
| DOI: |
| 通讯作者:
Email： |
| 作者简介: 陈鹏岗(1974-),西北工业大学博士研究生,主要从事信号处理的研究。
|
|
|
|
|
|
|
|
参考文献: |
|
|
[1] Pawlak Z. Rough Set[J]. International Journal of Computer and Information Sciences,l982, 11: 341-356
[2] Wang G Y, Li T R. Grzymalabusse J, et al. Rough Sets and Knowledge Technology[C]//Proceedings of RSKT2008, Berlin, Germany, 2008
[3] Zhu W, Wang F Y. Reduction and Axiomization of Covering Generalized Rough Sets[J]. Information Sciences, 2003,152: 217-230
[4] Tsang E C C, Chen D G, Lee J W T, et al. On the Upper Approximations of Covering Generalized Rough Sets[C]//Proceedings of the 3rd International Conference Machine Learning and Cybernetics, Shanghai, China, 2004: 4200-4203
[5] Zhu W, Wang F Y. On Three Types of Covering-Based Rough Sets[J]. IEEE Trans on Knowledge and Data Engineering, 2007, 19(8): 1131-1144
[6] Zhu W. Relationship between Generalized Rough Sets Based on Binary Relation and Covering[J]. Information Sciences, 2009, 179(3): 210-225
[7] Zhu W, Wang F Y. A New Type of Covering Rough Set [C]//3rd International IEEE Conference on Intelligent Systems, London, 2006: 444-449
[8] Gau W L, Buehrer D J. Vague Sets[J]. IEEE Trans on Systems,Man,and Cybmetics,1993,23(2): 610-614
[9] Molodtsov D. Soft Set Theory-First Results[J]. Computers and Mathematics with Applications, 1999, 37: 19-31
[10] Feng F, Xiao L, Violeta L, et al. Soft Sets and Soft Rough Sets[J]. Information Sciences, 2011, 181(6): 1125-1137
[11] Feng F, Chang L, Davvaz B. Soft Sets Combined with Fuzzy Sets and Rough Sets: A Tentative Approach[J]. Information Sciences, 2010, 14(9): 899-911
[12] Wei X, Jian M, Shou W, et al. Vague Soft Sets and Their Properties[J]. Computers & Mathematics with Applications, 2010, 59(2): 787-794.
[13] 王金艳. 软集理论及其在决策中的应用研究[D]. 长春:东北师范大学,2011 Wang Jinyan. Soft Set Theory and Its Application in DeCision Making[D]. Changchun, Northeast Normal University, 2011 (in Chinese)
[14] 王昌,袁敏. Vague软集的一些代数性质[J]. 计算机工程与应用,2010,46(13):15-21 Wang Chang, Yuan Min. Some Algebraic Properties of Vague Soft Sets[J]. Computer Engineering And Applications, 2010, 46(13): 15-21 (in Chinese)
[15] 王昌. Vague软集的相似度量及其应用[J]. 统计与决策,2012,350(2):115-117 Wang Chang. Similarity Measurement and Application of Vague Soft Sets[J]. Statistics and Dmecision Making, 2012, 350(2): 115-117 (in Chinese)
[16] 王昌. Vague软集的模糊熵和它的一些性质[J]. 小型微型计算机系统,2012,(7):33-35 Wang Chang. Fuzzy Entropy of Vague Soft Sets and Some of Its Properties[J]. Journal of Chinese Computer Systems, 2012,(7): 33-35 (in Chinese)
[17] 张倩倩,徐久成,胡玉文. 基于覆盖的粗糙Vague集模型研究[J]. 广西大学学报,2009,35(5):653-657 Zhang Qianqian, Xu Jiucheng, Hu Yuwen. Study of Rough-Vague Sets Model Based on Covering[J]. Journal of Guangxi University, 2009,35(5): 653-657 (in Chinese)
[18] 徐久成,张倩倩. 覆盖粗糙Vague集的不确定性度量研究[J]. 计算机科学,2010,37(10):225-227 Xu Jiucheng, Zhang Qianqian. Research on Uncertainty Measurement for Covering Rough-Vague Sets[J]. Computer Science, 2010, 37(10): 225-227 (in Chinese)
[19] 胡军,王国胤. 覆盖粒度空间的层次模型[J]. 南京大学学报,2008,44(5):551-558 Hu Jun, Wang Guoyin. Hierarchical Model of Covering Granular Space[J]. Journal of Nanjing University, 2008,44(5): 551-558 (in Chinese)
[20] 杨海龙,李生刚. 软Vague关系[J]. 计算机工程与应用,2009,45(10):1-3 Yang Hailong, Li Shenggang. Soft Vague Relation Computer[J]. Engineering and Applications,2009, 45(10): 1-3 (in Chinese)
[21] 徐菲菲,苗夺谦,李国道,等. 基于最简覆盖的粗糙模糊集的粗糙熵[J]. 计算机科学,2006,33(10):179-181 Xu Feifei, Miao Duoqian, Li Guodao. Rough Entropy of Rough Fuzzy Sets Based on Covering[J]. Computer Science, 2006, 33(10): 179-181 (in Chinese)
[22] 王伟,彭进业,李展. 一种覆盖粗糙Vague集模型及其不确定性度量[J]. 计算机科学,2012,39(8):228-232 Wang Wei, Peng Jinye, Li Zhan. Covering Rough Vague Sets and Uncertainty Measurement[J]. Computer Science, 2012, 39(8): 228-232 (in Chinese)
[23] 解滨,李磊军,米据生. 基于知识粒度的粗糙集的不确定性度量[J]. 计算机学报,2010,37(9):225-228 Xie Bin, Li Leijun, Mi Jusheng. Uncertainty Measures of Rough Sets Based an Knowledge Granularities[J]. Computer Science, 2010, 37(9): 225-228 (in Chinese)
[24] 胡文彬,张宏,李千目. 基于全知熵的模式集成不确定性度量模型[J]. 南京航空航天大学学报,2012,44(4):576-579 Hu Wenbin, Zhang Hong, Li Qianmu. Uncertainty Measure Model of Schema Integration Based on All Known Entropy[J]. Journal of Nanjing University of Aeronautics & Astronautics, 2012, 44(4): 576-579 (in Chinese)
[25] 解浪,杨叶. 一种软件工作量估算的不确定性度量方法[J]. 计算机工程,2012,38(3):276-280 Xie Lang, Yang Ye. Uncertainty Measurement Method of Software Effort Estimation[J]. Computer Engineer, 2012, 38(3): 276-280 (in Chinese)
[26] 胡军. 覆盖近似空间中粗糙集的不确定性度量研究[J]. 计算机应用与软件,2011,28(11):376-379 Hu Jun. Uncertainty Measuring Study on Rough Sets in Covering Approximation Space[J]. Computer Applications and Software, 2011, 28(11): 376-379 (in Chinese) |
|
|
|
|
|
|
|
