Fuzzy Statistical Decision-Making

1. Front Matter

   Pages i-xii

   PDF

2. Fuzzy Statistical Decision-Making

   • Cengiz Kahraman, Özgür Kabak

   Pages 1-12

3. Fuzzy Probability Theory I: Discrete Case

   • I. Burak Parlak, A. Cağrı Tolga

   Pages 13-34

4. Fuzzy Probability Theory II: Continuous Case

   • A. Cağrı Tolga, I. Burak Parlak

   Pages 35-54

5. On Fuzzy Bayesian Inference

   • Reinhard Viertl, Owat Sunanta

   Pages 55-64

6. Fuzzy Central Tendency Measures

   • Cengiz Kahraman, İrem Uçal Sarı

   Pages 65-83

7. Fuzzy Dispersion Measures

   • İrem Uçal Sarı, Cengiz Kahraman, Özgür Kabak

   Pages 85-99

8. Sufficiency, Completeness, and Unbiasedness Based on Fuzzy Sample Space

   • Mohsen Arefi, S. Mahmoud Taheri

   Pages 101-118

9. Fuzzy Confidence Regions

   • Reinhard Viertl, Shohreh Mirzaei Yeganeh

   Pages 119-127

10. Fuzzy Extensions of Confidence Intervals: Estimation for µ, σ2, and p

    • Cengiz Kahraman, Irem Otay, Başar Öztayşi

    Pages 129-154

11. Testing Fuzzy Hypotheses: A New p-value-based Approach

    • Abbas Parchami, S. Mohmoud Taheri, Bahram Sadeghpour Gildeh, Mashaallah Mashinchi

    Pages 155-173

12. Fuzzy Regression Analysis: An Actuarial Perspective

    • Jorge de Andrés-Sánchez

    Pages 175-201

13. Fuzzy Correlation and Fuzzy Non-linear Regression Analysis

    • Murat Alper Basaran, Biagio Simonetti, Luigi D’Ambra

    Pages 203-220

14. Fuzzy Decision Trees

    • Ayca Altay, Didem Cinar

    Pages 221-261

15. Fuzzy Shewhart Control Charts

    • Cengiz Kahraman, Murat Gülbay, Eda Boltürk

    Pages 263-280

16. Fuzzy EWMA and Fuzzy CUSUM Control Charts

    • Nihal Erginel, Sevil Şentürk

    Pages 281-295

17. Linear Hypothesis Testing Based on Unbiased Fuzzy Estimators and Fuzzy Significance Level

    • Alireza Jiryaei, Mashaallah Mashinchi

    Pages 297-313

18. A Practical Application of Fuzzy Analysis of Variance in Agriculture

    • R. Ivani, S. H. Sanaei Nejad, B. Ghahraman, A. R. Astaraei, H. Feizi

    Pages 315-327

19. A Survey of Fuzzy Data Mining Techniques

    • Tzung-Pei Hong, Chun-Hao Chen, Jerry Chun-Wei Lin

    Pages 329-354

20. Back Matter

    Pages 355-356

    PDF

This book offers a comprehensive reference guide to fuzzy statistics and fuzzy decision-making techniques. It provides readers with all the necessary tools for making statistical inference in the case of incomplete information or insufficient data, where classical statistics cannot be applied. The respective chapters, written by prominent researchers, explain a wealth of both basic and advanced concepts including: fuzzy probability distributions, fuzzy frequency distributions, fuzzy Bayesian inference, fuzzy mean, mode and median, fuzzy dispersion, fuzzy p-value, and many others. To foster a better understanding, all the chapters include relevant numerical examples or case studies. Taken together, they form an excellent reference guide for researchers, lecturers and postgraduate students pursuing research on fuzzy statistics. Moreover, by extending all the main aspects of classical statistical decision-making to its fuzzy counterpart, the book presents a dynamic snapshot of the field that is expected to stimulate new directions, ideas and developments.

• Fuzzy Mean
• Fuzzy Median
• Fuzzy Mode
• Fuzzy P-Value
• Fuzzy Hypothesis
• Fuzzy Decision Trees
• Fuzzy Correlation
• Fuzzy Random Variable (FRV)
• Fuzzy Continuous Distributions
• Fuzzy Frequency Distributions
• Fuzzy Numbers
• Fuzzy Probability Density Function
• Fuzzy Bayesian Inference
• Fuzzy Variance
• Fuzzy Standard Deviation
• UMVU Estimators
• Fuzzy Control Charts
• Fuzzy Data Mining
• Intuitionistic Fuzzy Sets

“The chapters are presented in intuitive, appealing manner and logical order, making the book as accessible to the widest possible readership. … The book offers advanced methods in the field, useful practical examples and figures. The book contributes stimulating and substantial knowledge for the benefit of a host of research community and exhibits the use and practicality of the wonderful discipline statistical science. … this book will be of interest to researchers in fuzzy statistics and related fields.” (S. Ejaz Ahmed, Technometrics, Vol. 58, November, 2016) 

• Management Faculty, Industrial Engineering Department, Istanbul Technical University, Istanbul, Turkey

  Cengiz Kahraman

• Management Facult, Industrial Engineering Department, Istanbul Technical University, Istanbul, Turkey

  Özgür Kabak

Prof. Kahraman received his BSc (1988), MSc (1990), and PhD (1996) degrees in Industrial Engineering from the Istanbul Technical University. His main research areas include engineering economics, quality management and control, statistical decision making, and fuzzy sets applications. He has published about 150 papers in international journals and more than 5 books with Springer. He has served as guest editor of many special issues of international journals and is presently the Head of the Industrial Engineering department of the Istanbul Technical University. Dr. Özgür Kabak received his BSc (2001), MSc (2003), and PhD (2008) degrees in Industrial Engineering from the Istanbul Technical University. He is currently Assistant Professor of Industrial Engineering in the same University. His main research areas are fuzzy decision making, mathematical programming and statistical decision making.

Policies and ethics