Indistinguishability Operators Modelling Fuzzy Equalities and Fuzzy Equivalence Relations /

• Main Author: Recasens, Jordi (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011.
• Series: Studies in Fuzziness and Soft Computing, 260
• Subjects: Engineering.; Artificial intelligence.; Computational intelligence.; Computational Intelligence.; Artificial Intelligence (incl. Robotics).

Indistinguishability operators are essential tools in fuzzy logic since they fuzzify the concepts of equivalence relation and crisp equality. This book collects all the main aspects of these operators in a single volume for the first time. The stress is put on the study of their structure and the mo...

Table of Contents:

• Introduction
• Granularity and Extensional Sets
• Isometries Between Indistinguishability Operators
• min-indistinguishability Operators and Hierarchical Trees
• Betweenness Relations
• Dimension and Basis
• Aggregation of Indistinguishability Operators
• Making Proximities Transitive
• Fuzzy Functions
• Indistinguishability Operators and Approximate Reasoning
• Vague Groups
• Finitely Valued Indistinguishability Operators.