ISCAS OpenIR
extending fuzzy soft sets with fuzzy description logics
Jiang Yuncheng; Tang Yong; Chen Qimai; Liu Hai; Tang Jianchao
2011
SourceKnowledge-Based Systems
ISSN9507051
Volume24Issue:7Pages:1096-1107
English AbstractMolodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. However, it has been pointed out that classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. In order to handle these types of problem parameters, some fuzzy extensions of soft set theory are presented, yielding fuzzy soft set theory. Fuzzy description logics (DLs) are a family of logics which allow the representation of and the reasoning within structured knowledge affected by vagueness. In this paper we extend fuzzy soft sets with fuzzy DLs, i.e., present an extended fuzzy soft set theory by using the concepts of fuzzy DLs to act as the parameters of fuzzy soft sets. We define some operations for the extended fuzzy soft sets. Moreover, we prove that certain De Morgan's laws hold in the extended fuzzy soft set theory with respect to these operations. In fact, the extended fuzzy soft set theory based on fuzzy DLs presented in this paper is a fuzzy extension of the extended soft set theory based on DLs. © 2011 Elsevier B.V. All rights reserved.
Indexed Typeei
KeywordData Description Formal Languages Knowledge Representation
Department(1) School of Computer Science, South China Normal University, Guangzhou 510631, China; (2) State Key Laboratory of Computer Science, Institute of Software, Chinese Academy of Sciences, Beijing 100190, China
Language英语
WOS IDWOS:000293683500015
Citation statistics
Content Type期刊论文
URIhttp://ir.iscas.ac.cn/handle/311060/14037
Collection中国科学院软件研究所
Recommended Citation
GB/T 7714
Jiang Yuncheng,Tang Yong,Chen Qimai,et al. extending fuzzy soft sets with fuzzy description logics[J]. Knowledge-Based Systems,2011,24(7):1096-1107.
APA Jiang Yuncheng,Tang Yong,Chen Qimai,Liu Hai,&Tang Jianchao.(2011).extending fuzzy soft sets with fuzzy description logics.Knowledge-Based Systems,24(7),1096-1107.
MLA Jiang Yuncheng,et al."extending fuzzy soft sets with fuzzy description logics".Knowledge-Based Systems 24.7(2011):1096-1107.
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