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Fuzzy Management Methods
cover

The Signed Distance Measure in Fuzzy Statistical Analysis

Theoretical, Empirical and Programming Advances

Authors: Berkachy, Rédina

  • 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
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eBook 96,29 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: August 13, 2021
  • ISBN 978-3-030-76916-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 124,79 €
price for Spain (gross)
  • Due: August 13, 2021
  • ISBN 978-3-030-76915-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
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.

About the authors

Dr. Rédina Berkachy is a Senior Researcher at the Applied Statistics and Modelling (ASAM) group at the Department of Informatics, Faculty of Management, Economics and Social Sciences of the University of Fribourg, and a Senior Lecturer at the School of Engineering and Architecture of Fribourg of the University of Applied Sciences and Arts Western Switzerland. She holds a BSc in Mathematics from the Lebanese University (Lebanon), a MSc in Numerical Analysis and Mathematical Modelling from the Saint-Joseph University of Beirut (Lebanon), and a PhD in Statistics from the University of Fribourg (Switzerland). Her main research interests are fuzzy statistics and their applications, fuzzy decision making and mathematical and statistical modelling. She is also an R developer and the author of FuzzySTs package available on CRAN. 

Buy this book

eBook 96,29 €
price for Spain (gross)
  • The eBook version of this title will be available soon
  • Due: August 13, 2021
  • ISBN 978-3-030-76916-1
  • Digitally watermarked, DRM-free
  • Included format:
  • ebooks can be used on all reading devices
Hardcover 124,79 €
price for Spain (gross)
  • Due: August 13, 2021
  • ISBN 978-3-030-76915-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Signed Distance Measure in Fuzzy Statistical Analysis
Book Subtitle
Theoretical, Empirical and Programming Advances
Authors
Series Title
Fuzzy Management Methods
Copyright
2021
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-76916-1
DOI
10.1007/978-3-030-76916-1
Hardcover ISBN
978-3-030-76915-4
Series ISSN
2196-4130
Edition Number
1
Number of Pages
X, 350
Number of Illustrations
15 b/w illustrations, 55 illustrations in colour
Topics