# Fuzzy context-free languages - Part 1: Generalized fuzzy context-free grammars

P.R.J. Asveld

21 Citations (Scopus)

## Abstract

Motivated by aspects of robustness in parsing a context-free language, we study generalized fuzzy context-free grammars. These fuzzy context-free $K$-grammars provide a general framework to describe correctly as well as erroneously derived sentences by a single generating mechanism. They model the situation of making a finite choice out of an infinity of possible grammatical errors during each context-free derivation step. Formally, a fuzzy context-free $K$-grammar is a fuzzy context-free grammar with a countable rather than a finite number of rules satisfying the following condition: for each symbol $\alpha$, the set containing all right-hand sides of rules with left-hand side equal to $\alpha$ forms a fuzzy language that belongs to a given family $K$ of fuzzy languages. We investigate the generating power of fuzzy context-free $K$-grammars, and we show that under minor assumptions on the parameter $K$, the family of languages generated by fuzzy context-free $K$-grammars possesses closure properties very similar to those of the family of ordinary context-free languages.
Original language Undefined 167-190 24 Theoretical computer science 347 1-2 https://doi.org/10.1016/j.tcs.2005.06.012 Published - 2005

## Keywords

• MSC-68Q45
• EWI-2712
• HMI-SLT: Speech and Language Technology
• MSC-68Q42
• METIS-227288
• MSC-03E72
• IR-53904