On Intuitionistic Fuzzy Context-Free Languages
Joint Authors
Jin, Jianhua
Li, Qingguo
Li, Chunquan
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-04-03
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
Taking intuitionistic fuzzy sets as the structures of truth values, we propose the notions of intuitionistic fuzzy context-free grammars (IFCFGs, for short) and pushdown automata with final states (IFPDAs).
Then we investigate algebraic characterization of intuitionistic fuzzy recognizable languages including decomposition form and representation theorem.
By introducing the generalized subset construction method, we show that IFPDAs are equivalent to their simple form, called intuitionistic fuzzy simple pushdown automata (IF-SPDAs), and then prove that intuitionistic fuzzy recognizable step functions are the same as those accepted by IFPDAs.
It follows that intuitionistic fuzzy pushdown automata with empty stack and IFPDAs are equivalent by classical automata theory.
Additionally, we introduce the concepts of Chomsky normal form grammar (IFCNF) and Greibach normal form grammar (IFGNF) based on intuitionistic fuzzy sets.
The results of our study indicate that intuitionistic fuzzy context-free languages generated by IFCFGs are equivalent to those generated by IFGNFs and IFCNFs, respectively, and they are also equivalent to intuitionistic fuzzy recognizable step functions.
Then some operations on the family of intuitionistic fuzzy context-free languages are discussed.
Finally, pumping lemma for intuitionistic fuzzy context-free languages is investigated.
American Psychological Association (APA)
Jin, Jianhua& Li, Qingguo& Li, Chunquan. 2013. On Intuitionistic Fuzzy Context-Free Languages. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-501128
Modern Language Association (MLA)
Jin, Jianhua…[et al.]. On Intuitionistic Fuzzy Context-Free Languages. Journal of Applied Mathematics No. 2013 (2013), pp.1-16.
https://search.emarefa.net/detail/BIM-501128
American Medical Association (AMA)
Jin, Jianhua& Li, Qingguo& Li, Chunquan. On Intuitionistic Fuzzy Context-Free Languages. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-16.
https://search.emarefa.net/detail/BIM-501128
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-501128