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Frontiers of Computer Science

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Front Comput Sci Chin    0, Vol. Issue () : 205-215    https://doi.org/10.1007/s11704-011-0109-8
RESEARCH ARTICLE
Type-2 fuzzy description logic
Ruixuan LI1(), Kunmei WEN1, Xiwu GU1, Yuhua LI1, Xiaolin SUN1, Bing LI2
1. Intelligent and Distributed Computing Laboratory, School of Computer Science and Technology, Huazhong University of Science and Technology, Wuhan 430074, China; 2. State Key Laboratory of Software Engineering, Wuhan University, Wuhan 430072, China
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Abstract

Description logics (DLs) are widely employed in recent semantic web application systems. However, classical description logics are limited when dealing with imprecise concepts and roles, thus providing the motivation for this work. In this paper, we present a type-2 fuzzy attributive concept language with complements (ALC) and provide its knowledge representation and reasoning algorithms. We also propose type-2 fuzzy web ontology language (OWL) to build a fuzzy ontology based on type-2 fuzzy ALC and analyze the soundness, completeness, and complexity of the reasoning algorithms. Compared to type-1 fuzzy ALC, type-2 fuzzy ALC can describe imprecise knowledge more meticulously by using the membership degree interval. We implement a semantic search engine based on type-2 fuzzy ALC and carry out experiments on real data to test its performance. The results show that the type-2 fuzzy ALC can improve the precision and increase the number of relevant hits for imprecise information searches.
Keywords description logic (DL)      type-2 fuzzy attributive concept language with complements (ALC)      fuzzy ontology      reasoning      semantic search engine     
Corresponding Author(s): LI Ruixuan,Email:rxli@hust.edu.cn   
Issue Date: 05 June 2011
 Cite this article:   
Ruixuan LI,Kunmei WEN,Xiwu GU, et al. Type-2 fuzzy description logic[J]. Front Comput Sci Chin, 0, (): 205-215.
 URL:  
https://academic.hep.com.cn/fcs/EN/10.1007/s11704-011-0109-8
https://academic.hep.com.cn/fcs/EN/Y0/V/I/205
ConstructorSyntaxSemantics
Top (universe)??I
Bottom (nothing)⊥Φ
Atomic conceptA[a,b]A[a,b]I?ΔI
Atomic roleR[a,b]R[a,b]I?ΔI×ΔI
ConjunctionC[a,b]?D[c,d](C?D)[T(a,c),T(b,d)]I
DisjunctionC[a,b]?D[c,d](C?D)[S(a,c),T(b,d)]I
Negation?C[a,b]C[1-b,1-a]I
Value restriction?R[a,b]·C[c,d]?y.S(R[1-b,1-a](x,y),C[c,d](y))
Full existential quantification?R[a,b]·C[c,d]?y.T(R[a,b](x,y),C[c,d](y))
Tab.1  Syntax and semantics of type-2 fuzzy ALC constructors
Fig.1  Framework of semantic search engine based on type-2 fuzzy ontology
Fig.2  Relevant hits-imprecision graph
Fig.3  Precision-nodes graph
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