# The Non-Self-Embedding Property for Generalized Fuzzy Context-free Grammars

Asveld, Peter R.J. (1999) The Non-Self-Embedding Property for Generalized Fuzzy Context-free Grammars. Publicationes Mathematicae Debrecen, 54 (Suppl.). pp. 553-573. ISSN 0033-3883

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 Abstract: A fuzzy context-free -grammar is a fuzzy context-free grammar with a countable rather than a finite number of rules satisfying the following condition: for each symbol , the set containing all right-hand sides of rules with left-hand side equal to forms a fuzzy language that belongs to a given family of fuzzy languages. In this paper we study the effect of the non-self-embedding restriction on the generating power of fuzzy context-free -grammars. Our main result shows that under weak assumptions on the family , a fuzzy language is generated by a non-self-embedding fuzzy context-free -grammar if and only if either it is a fuzzy regular language or it belongs to the substitution closure of the family . The proof heavily relies on the closure properties of the families and . Item Type: Article Faculty: Electrical Engineering, Mathematics and Computer Science (EEMCS) Research Group: Link to this item: http://purl.utwente.nl/publications/63637 Publisher URL: http://www.math.klte.hu/publi Export this item as: BibTeXEndNoteHTML CitationReference Manager

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