计算机科学 ›› 2024, Vol. 51 ›› Issue (11A): 240300108-5.doi: 10.11896/jsjkx.240300108
张夏苇1, 孔庆钊2
ZHANG Xiawei1, KONG Qingzhao2
摘要: 平均近似精度是粗糙集理论中新近提出的一个重要概念。首先分析平均近似精度的数学结构,给出平均近似精度一种新的解释;然后重点讨论平均近似精度的若干重要性质,相比传统方法,其能更有效地刻画粗糙集模型知识表示的能力;最后,探讨平均近似精度在不完备信息表和特征选择两方面的应用。这些研究成果丰富了粗糙集理论的内容,扩展了粗糙集理论在实际问题中的应用。
中图分类号:
[1]ZADEH L.Fuzzy sets [J].Information and Control,1965,8:338-353. [2]RAMESH DHANASEELAN F,JEYA SUTHA M.Detection of breast cancer based on fuzzy frequent itemsets mining [J].IRBM,2021,42(3):198-206. [3]LEE H,HSIEH C J,LEE J S.Local critic training for model-parallel learning of deep neural networks [J].IEEE Transactions on Neural Networks and Learning Systems,2022,33(9):4424-4436. [4]ZHANG B,ZHANG L.Theory and applications of problem sol-ving [M].North Holland Publishing,Amsterdam,1992. [5]YAO Y Y.Three-way decisions with probabilisticrough sets[J].Information Sciences,2010,180(3):341-353. [6]YAO Y Y.Three-way decision and granular computing [J].International Journal of Approximate Reasoning,2018,103:107-123. [7]PAWLAK Z.Rough sets [J].International Journal of Computing and Information Science,1982,11(5):341-356. [8]KONG Q Z,ZHANG X W,XU W H,et al.A novel granular computing model based on three-way decision [J].International Journal of Approximate Reasoning,2022,144:92-112. [9]KONG Q Z,ZHANG X W,XU W H,et al.Attribute reducts of multi-granulation information system [J].Artificial Intelligence Review,2020,53(2):1353-1371. [10]XU W H,HUANG M,JIANG Z Y,et al.Graph-based unsupervised feature selection for interval-valued information system [J/OL].https://doi.org/10.1109/TNNLS.2023.3263684. [11]KONG Q Z,CHANG X E.Rough set model based on variableuniverse [J].CAAI Transactions on Intelligence Technology,2022,7(3):503-511. [12]KONG Q Z,XU W H,ZHANG D X.A comparative study of different granular structures induced from the information systems [J].Soft Computing,2022,26(1):105-122. [13]KONG Q Z,CHANG X E.Two kinds of average approximation accuracy [J].CAAI Transactions on Intelligence Technology,2024,9(2):481-490. [14]PAWLAK Z.Information systems theoretical foundations [J].Information Systems,1981,6(3):205-218. [15]WIERMAN M J.Measuring uncertainty in rough set theory[J].International Journal of General Systems,1999,28(4/5):283-297. [16]PAWLAK Z.Rough sets.Theoretical aspects of reasoning about data [M].Kluwer Academic Publishers,Dordrecht,1991. [17]MI J S,WU W Z,ZHANG W X.Approaches to knowledge reduction based on variable precision rough set model [J].Information Sciences,2004,159(3/4):255-272. [18]MIAO D Q,ZHAO Y,YAO Y Y,et al.Relative reducts in consistent and inconsistent decision tables of the Pawlak rough set model [J].Information Sciences,2009,179(24):4140-4150. [19]WANG F,LIANG J Y,QIAN Y H.Attribute reduction:a dimension incremental strategy [J].Knowledge-Based Systems,2013,39:95-108. [20]YANG Y Y,CHEN D G,DONG Z.Novel algorithms of attri-bute reduction with variable precision rough set model [J].Neurocomputing,2014,139:336-344. [21]YUAN J L,CHEN M,JIANG T,et al.Complete tolerance relation based parallel filling forincomplete energy big data[J].Knowledge-Based Systems,2017,132:215-225. [22]CHEN J,SHAO J.Jackknife variance estimation for nearest-neighbor imputation [J].Journal of the American Statistical Association.2001,96(453):260-269. [23]SALAMA A S,El-BARBARY O G.Topological approach to retrieve missing values in incomplete information systems [J].Journal of the Egyptian Mathematical Society,2017,25:419-423. [24]ZHOU X Z,HUANG B,LI H X,et al.Rough set theory andmethod for knowledge acquisition in incomplete information systems[D].Nanjing:Nanjing University Press,2010. [25]HU X,ZHANG H,YANG C M,et al.Regularized spectral clustering with entropy perturbation [J].IEEE Transactions on Big Data,2021,7(6):967-972. [26]KONG Q Z,WANG W T,XU W H,et al.A method of dataanalysis based on division-mining-fusion strategy [J].Information Sciences,2024,666:120450. [27]JENSEN R,QIANG S.Semantics-preserving dimensionality reduction:rough and fuzzy-rough-based approaches [J].IEEE Transactions on Knowledge and Data Engineering,2004,16(12):1457-1471. [28]YAO Y Y.Interpreting concept learning in cognitive informatics and granular computing [J].IEEE Transactions on Systems Man and Cybernetics B,2009,39(4):855-866. [29]ZHANG J B,LI T R,RUAN D,et al.A parallel method forcomputing rough set approximations [J].Information Sciences,2012,194:209-223. [30]XU W H,YUAN K H,LI W T,et al.An emerging fuzzy feature selection method using composite entropy-based uncertainty measure and data distribution [J].IEEE Transactions on Emerging Topics in Computational Intelligence,2023,7(1):76-88. |
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