Fuzzy Quantifiers A Computational Theory

By: Glöckner, IngoMaterial type: TextTextLanguage: English Series: Studies in fuzziness and soft computingPublication details: Berlin Springer 2006Description: xvii, 460pISBN: 3540296344Subject(s): Computational linguistics | Semantics | Grammar, Comparative and general | Language and logic | Mathematics
Contents:
Preliminaries; Contents; 1 An Introduction to Fuzzy Quantification; 2 A Framework for Fuzzy Quantification; 3 The Axiomatic Class of Plausible Models; 4 Semantic Properties of the Models; 5 Special Subclasses of Models; 6 Special Semantical Properties and Theoretical Limits; 7 Models Defined in Terms of Three Valued Cuts and Fuzzy Median Aggregation; 8 Models Defined in Terms of Upper and Lower Bounds on Three Valued Cuts; 9 The Full Class of Models Defined in Terms of Three Valued Cuts; 10 The Class of Models Based on the Extension Principle; 11 Implementation of Quantifiers in the Models
Summary: "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 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."--Jacket
Item type: BOOKS
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Includes bibliographical references p. (425-435) and index.

Preliminaries; Contents; 1 An Introduction to Fuzzy Quantification; 2 A Framework for Fuzzy Quantification; 3 The Axiomatic Class of Plausible Models; 4 Semantic Properties of the Models; 5 Special Subclasses of Models; 6 Special Semantical Properties and Theoretical Limits; 7 Models Defined in Terms of Three Valued Cuts and Fuzzy Median Aggregation; 8 Models Defined in Terms of Upper and Lower Bounds on Three Valued Cuts; 9 The Full Class of Models Defined in Terms of Three Valued Cuts; 10 The Class of Models Based on the Extension Principle; 11 Implementation of Quantifiers in the Models

"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 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."--Jacket

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