Fuzzy Quantifiers A Computational Theory /

• Main Author: Glöckner, Ingo (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2006.
• Series: Studies in Fuzziness and Soft Computing, 193
• Subjects: Engineering.; Artificial intelligence.; Computational linguistics.; Applied mathematics.; Engineering mathematics.; Appl.Mathematics/Computational Methods of Engineering.; Artificial Intelligence (incl. Robotics).; Computational Linguistics.

"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...

Table of Contents:

• An Introduction to Fuzzy Quantification: Origins and Basic Concepts
• A Framework for Fuzzy Quantification
• The Axiomatic Class of Plausible Models
• Semantic Properties of the Models
• Special Subclasses of Models
• Special Semantical Properties and Theoretical Limits
• Models Defined in Terms of Three-Valued Cuts and Fuzzy-Median Aggregation
• Models Defined in Terms of Upper and Lower Bounds on Three-Valued Cuts
• The Full Class of Models Defined in Terms of Three-Valued Cuts
• The Class of Models Based on the Extension Principle
• Implementation of Quantifiers in the Models
• Multiple Variable Binding and Branching Quantification
• Discussion.