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Fuzzy Quantifiers

A Computational Theory

  • Ingo Glöckner

Part of the Studies in Fuzziness and Soft Computing book series (STUDFUZZ, volume 193)

About this book

Introduction

"Almost all", "many", "some": fuzzy quantifiers are vital for effective communication in natural language (NL). This monograph pursues an axiomatic method to achieve a reliable interpretation of these quantifiers in technical applications of fuzzy quantification. Unlike existing work in this area, it targets a much broader class of quantificational phenomena which includes all cases usually considered in linguistics. The topics addressed in the monograph run the gamut from the introduction of the theoretical framework for analysing fuzzy quantification, the formalization of semantical requirements on models of fuzzy quantification, the construction and detailed study of prototypical models which conform to the linguistic desiderata, the development of algorithms for implementing the main types of quantifiers in these models, and finally a preview to fuzzy branching quantifications which might be necessary for modelling NL sentences involving more than one quantifier. The material will be of interest to those working at the crossroads of natural language and fuzzy set theory. The fields of application comprise fuzzy information aggregation and data fusion, flexible database querying and fuzzy information retrieval, multi-criteria decision-making and linguistic data summarization.

Keywords

Extension Fuzzy Quantifiers Fuzzy Set Theory Gloeckner Linguistic Quantifiers Natural Lanuage Processing communication construction fuzzy fuzzy set logic model natural language

Authors and affiliations

  • Ingo Glöckner
    • 1
  1. 1.LG Prakt. Inf. VII InformatikzentrumFern Universität in HagenHagenGermany

Bibliographic information

  • DOI https://doi.org/10.1007/3-540-32503-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 2006
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Engineering
  • Print ISBN 978-3-540-29634-8
  • Online ISBN 978-3-540-32503-1
  • Series Print ISSN 1434-9922
  • Buy this book on publisher's site