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.
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.
Innehållsförteckning
- 1. Introduction. - Part I Theoretical Part. - 2. Fundamental Concepts on Fuzzy Sets. - 3. Fuzzy Rule-Based Systems. - 4. Distances Between Fuzzy Sets. - 5. Fuzzy Random Variables and Fuzzy Distributions. - 6. Fuzzy Statistical Inference. - Conclusion Part I. - Part II Applications. - 7. Evaluation of Linguistic Questionnaire. - 8. Fuzzy Analysis of Variance. - Part III An R Package for Fuzzy Statistical Analysis: A DetailedDescription. - 9. FuzzySTs: Fuzzy Statistical Tools: A Detailed Description. - Conclusion.