Algorithm and axiomatization of rough fuzzy sets based finite dimensional fuzzy vectors
文献类型：期刊论文
| 作者 | Wu, Mingfen1,2 |
| 刊名 | FRONTIERS OF COMPUTER SCIENCE IN CHINA
 |
| 出版日期 | 2009-12-01 |
| 卷号 | 3期号:4页码:560-568 |
| 关键词 | fuzzy vector fuzzy matrix fuzzy relation operation basis lower and upper approximation rough fuzzy sets unary operator |
| ISSN号 | 1673-7350 |
| DOI | 10.1007/s11704-009-0060-0 |
| 英文摘要 | Rough sets, proposed by Pawlak and rough fuzzy sets proposed by Dubois and Prade were expressed with the different computing formulas that were more complex and not conducive to computer operations. In this paper, we use the composition of a fuzzy matrix and fuzzy vectors in a given non-empty finite universal, constitute an algebraic system composed of finite dimensional fuzzy vectors and discuss some properties of the algebraic system about a basis and operations. We give an effective calculation representation of rough fuzzy sets by the inner and outer products that unify computing of rough sets and rough fuzzy sets with a formula. The basis of the algebraic system play a key role in this paper. We give some essential properties of the lower and upper approximation operators generated by reflexive, symmetric, and transitive fuzzy relations. The reflexive, symmetric, and transitive fuzzy relations are characterized by the basis of the algebraic system. A set of axioms, as the axiomatic approach, has been constructed to characterize the upper approximation of fuzzy sets on the basis of the algebraic system. |
| 资助项目 | National Natural Science Foundation of China[10341002] ; National Natural Science Foundation of China[60573063] ; National Natural Science Foundation of China[60573064] ; Guangdong Provincial Natural Science Foundation of China[0501332] ; Guangdong Provincial Natural Science Foundation of China[5013315] ; Guangdong Educational Department Natural Science Foundation of China |
| WOS研究方向 | Computer Science |
| 语种 | 英语 |
| WOS记录号 | WOS:000207971200014 |
| 出版者 | HIGHER EDUCATION PRESS |
| 源URL | [http://119.78.100.204/handle/2XEOYT63/11552]  |
| 专题 | 中国科学院计算技术研究所期刊论文_英文 |
| 通讯作者 | Wu, Mingfen |
| 作者单位 | 1.Wuyi Univ, Sch Informat Sci, Jiangmen 529020, Peoples R China 2.Chinese Acad Sci, Key Lab Intelligent Informat Proc, Inst Comp Technol, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wu, Mingfen. Algorithm and axiomatization of rough fuzzy sets based finite dimensional fuzzy vectors[J]. FRONTIERS OF COMPUTER SCIENCE IN CHINA,2009,3(4):560-568. |
| APA | Wu, Mingfen.(2009).Algorithm and axiomatization of rough fuzzy sets based finite dimensional fuzzy vectors.FRONTIERS OF COMPUTER SCIENCE IN CHINA,3(4),560-568. |
| MLA | Wu, Mingfen."Algorithm and axiomatization of rough fuzzy sets based finite dimensional fuzzy vectors".FRONTIERS OF COMPUTER SCIENCE IN CHINA 3.4(2009):560-568. |
入库方式： OAI收割
来源：计算技术研究所
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