Fuzzy Context-Free Languages. Part 1: Generalized Fuzzy Context-Free Grammars

P.R.J. Asveld

    Research output: Book/ReportReportAcademic

    Abstract

    Motivated by aspects of robustness in parsing a context-free language, we study generalized fuzzy context-free grammars. These so-called fuzzy context-free $K$-grammars provide a very 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
    PublisherCentre for Telematics and Information Technology (CTIT)
    Number of pages24
    Publication statusPublished - Mar 2000

    Publication series

    NameCTIT Technical Report Series
    No.00-03
    ISSN (Print)1381-3625

    Keywords

    • EWI-5956
    • METIS-118712
    • IR-63133

    Cite this

    Asveld, P. R. J. (2000). Fuzzy Context-Free Languages. Part 1: Generalized Fuzzy Context-Free Grammars. (CTIT Technical Report Series; No. 00-03). Centre for Telematics and Information Technology (CTIT).