Title: extending fuzzy soft sets with fuzzy description logics
Author: Jiang Yuncheng
; Tang Yong
; Chen Qimai
; Liu Hai
; Tang Jianchao
Keyword: Data description
; Formal languages
; Knowledge representation
Source: Knowledge-Based Systems
Issued Date: 2011
Volume: 24, Issue: 7, Pages: 1096-1107 Indexed Type: ei
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
English Abstract: Molodtsov 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.
Language: 英语
WOS ID: WOS:000293683500015
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Content Type: 期刊论文
URI: http://ir.iscas.ac.cn/handle/311060/14037
Appears in Collections: 软件所图书馆_期刊论文
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Recommended Citation:
Jiang Yuncheng,Tang Yong,Chen Qimai,et al. extending fuzzy soft sets with fuzzy description logics[J]. Knowledge-Based Systems,2011-01-01,24(7):1096-1107.