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

P.R.J. Asveld

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    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 languageUndefined
    Pages (from-to)167-190
    Number of pages24
    JournalTheoretical computer science
    Issue number1-2
    Publication statusPublished - 2005


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

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