Title
Extending soft sets with description logics
Abstract
Molodtsov initiated the concept of soft set theory, which can be used as a generic mathematical tool for dealing with uncertainty. Description Logics (DLs) are a family of knowledge representation languages which can be used to represent the terminological knowledge of an application domain in a structured and formally well-understood way. The current research progress and the existing problems of soft set theory are analyzed. In this paper we extend soft sets with DLs, i.e., present an extended soft set theory by using the concepts of DLs to act as the parameters of soft sets. We define some operations for the extended soft sets. Moreover, we prove that certain De Morgan's laws hold in the extended soft set theory with respect to these operations.
Year
DOI
Venue
2010
10.1016/j.camwa.2009.12.014
Computers & Mathematics with Applications
Keywords
Field
DocType
application domain,description logic,soft set,terminological knowledge,soft set theory,certain de morgan,extended soft set,knowledge representation language,extended soft set theory,soft sets,description logics,terminology,extended soft sets,current research progress,knowledge representation,set theory
Knowledge representation and reasoning,Mathematical optimization,Terminology,Soft set,Description logic,Algorithm,Theoretical computer science,Application domain,Mathematics
Journal
Volume
Issue
ISSN
59
6
Computers and Mathematics with Applications
Citations 
PageRank 
References 
42
1.67
21
Authors
5
Name
Order
Citations
PageRank
Yuncheng Jiang137524.36
Yong Tang255476.46
Qimai Chen31517.28
Ju Wang417212.45
Suqin Tang51437.77