Title
On the relationship between fuzzy description logics and many-valued modal logics.
Abstract
In this paper we study the relationships between a family of ALC-like fuzzy description logics (FDLs) defined over left-continuous t-norms and some many-valued multi-modal logics (MMLs). We analyze these relationships in both directions, that is, how to merge FDLs into MMLs and vice-versa. The analysis starts from the relationships between the languages to reach systematically the deeper level of reasoning tasks. At this level we are able to truly investigate both formalisms from each other point of view. Finally, the results concerning translations between reasoning tasks are applied in order to get decidability and complexity bounds.
Year
DOI
Venue
2018
10.1016/j.ijar.2017.11.006
International Journal of Approximate Reasoning
Keywords
Field
DocType
Mathematical fuzzy Logic,Fuzzy description logics,Many-valued modal logics,Fuzzy predicate logics,Attributive description languages
T-norm fuzzy logics,Discrete mathematics,Łukasiewicz logic,Accessibility relation,Fuzzy logic,Description logic,Decidability,Theoretical computer science,Monoidal t-norm logic,Principle of bivalence,Mathematics
Journal
Volume
Issue
ISSN
93
1
0888-613X
Citations 
PageRank 
References 
0
0.34
30
Authors
3
Name
Order
Citations
PageRank
Marco Cerami11107.98
Francesc Esteva21885200.14
Àngel García-Cerdaña37110.05