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 monograph starts presenting the different ways in which indistinguishability operators can be generated and represented.
Special attention is paid to the Representation Theorem and the Sup-T product. Extensionality of fuzzy subsets is studied in detail and is related to their observability and to the granularity. The metric behaviour of indistinguishability operators and their connection with cluster analysis and hierarchical trees is established.
Different ways to aggregate such operators are given as well as a number of methods to obtain transitive approximations of a fuzzy relation. Applications to approximate reasoning and to the study of fuzzy subgroups are also provided. The book ends with a chapter on finite-valued indistinguishability operators.
| ISBN: | 9783642423338 |
| Publication date: | 11th October 2014 |
| Author: | Jordi Recasens |
| Publisher: | Springer an imprint of Springer Berlin Heidelberg |
| Format: | Paperback |
| Pagination: | 244 pages |
| Series: | Studies in Fuzziness and Soft Computing |
| Genres: |
Artificial intelligence |
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.
Indistinguishability Operators features in the following genres: Artificial intelligence
Paperback, Hardback. Not Available.
Indistinguishability Operators was written by Jordi Recasens and published by Springer an imprint of Springer Berlin Heidelberg
Indistinguishability Operators has 244 pages
Yes it is part of Studies in Fuzziness and Soft Computing series