Overview
- Provides a didactical approach to advanced fuzzy statistical methods, together with examples and illustrations
- Compares fuzzy statistical approaches with standard classical approaches
- Addresses theoretical advances, applications and programming tools
Part of the book series: Fuzzy Management Methods (FMM)
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Table of contents (9 chapters)
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Front Matter
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Back Matter
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Applications
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Front Matter
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An R Package for Fuzzy Statistical Analysis: A Detailed Description
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Front Matter
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Back Matter
Keywords
About this book
The main focus of this book is on presenting advances in fuzzy statistics, and on proposing a methodology for testing hypotheses in the fuzzy environment based on the estimation of fuzzy confidence intervals, a context in which not only the data but also the hypotheses are considered to be fuzzy. The proposed method for estimating these intervals is based on the likelihood method and employs the bootstrap technique. A new metric generalizing the signed distance measure is also developed. In turn, the book presents two conceptually diverse applications in which defended intervals play a role: one is a novel methodology for evaluating linguistic questionnaires developed at the global and individual levels; the other is an extension of the multi-ways analysis of variance to the space of fuzzy sets. To illustrate these approaches, the book presents several empirical and simulation-based studies with synthetic and real data sets. In closing, it presents a coherent R package called “FuzzySTs” which covers all the previously mentioned concepts with full documentation and selected use cases. Given its scope, the book will be of interest to all researchers whose work involves advanced fuzzy statistical methods.
Authors and Affiliations
About the author
Bibliographic Information
Book Title: The Signed Distance Measure in Fuzzy Statistical Analysis
Book Subtitle: Theoretical, Empirical and Programming Advances
Authors: Rédina Berkachy
Series Title: Fuzzy Management Methods
DOI: https://doi.org/10.1007/978-3-030-76916-1
Publisher: Springer Cham
eBook Packages: Business and Management, Business and Management (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-76915-4Published: 01 November 2021
Softcover ISBN: 978-3-030-76918-5Published: 01 November 2022
eBook ISBN: 978-3-030-76916-1Published: 31 October 2021
Series ISSN: 2196-4130
Series E-ISSN: 2196-4149
Edition Number: 1
Number of Pages: XXIII, 346
Number of Illustrations: 15 b/w illustrations, 55 illustrations in colour
Topics: Statistics and Computing/Statistics Programs, Probability and Statistics in Computer Science, Statistical Theory and Methods, Operations Research/Decision Theory, Applied Statistics