Fuzzy Sets in Decision Analysis, Operations Research and Statistics

1. Front Matter

   Pages i-xxiv

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2. Decision Making

   1. Front Matter

      Pages 1-1

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   2. Fuzzy Preference Modeling

      • Patrice Perny, Marc Roubens

      Pages 3-30

   3. Fuzzy Aggregation of Numerical Preferences

      • Michel Grabisch, Sergei A. Orlovski, Ronald R. Yager

      Pages 31-68

   4. The Use of Fuzzy Preference Models in Multiple Criteria Choice, Ranking and Sorting

      • Janos Fodor, Sergei Orlovski, Patrice Perny, Marc Roubens

      Pages 69-101

   5. Group Decision Making Under Fuzziness

      • Janusz Kacprzyk, Hannu Nurmi

      Pages 103-136

   6. Elements of Fuzzy Game Theory

      • Antoine Billot

      Pages 137-176

3. Mathematical Programming

   1. Front Matter

      Pages 177-177

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   2. Fuzzy Linear Programming with Single or Multiple Objective Functions

      • Heinrich Rommelfanger, Roman Słowiński

      Pages 179-213

   3. Fuzzy Nonlinear Programming with Single or Multiple Objective Functions

      • Masatoshi Sakawa

      Pages 215-248

   4. Discrete Fuzzy Optimization

      • Stefan Chanas, Dorota Kuchta

      Pages 249-280

   5. Fuzzy Dynamic Programming

      • Augustine O. Esogbue, Janusz Kacprzyk

      Pages 281-307

4. Statistics and Data Analysis

   1. Front Matter

      Pages 309-309

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   2. Fuzzy Set-Theoretic Methods in Statistics

      • Jörg Gebhardt, María Angeles Gil, Rudolf Kruse

      Pages 311-347

   3. Fuzzy Regression Analysis

      • Phil Diamond, Hideo Tanaka

      Pages 349-387

5. Reliability, Maintenance and Replacement

   1. Front Matter

      Pages 389-389

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   2. Reliability

      • Etienne Kerre, Takehisa Onisawa, Bart Cappelle, Igor Gazdik

      Pages 391-420

   3. Maintenance and Replacement Models under a Fuzzy Framework

      • Augustine O. Esogbue, Warren E. Hearnes II

      Pages 421-447

6. Back Matter

   Pages 449-453

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Fuzzy Sets in Decision Analysis, Operations Research and Statistics includes chapters on fuzzy preference modeling, multiple criteria analysis, ranking and sorting methods, group decision-making and fuzzy game theory. It also presents optimization techniques such as fuzzy linear and non-linear programming, applications to graph problems and fuzzy combinatorial methods such as fuzzy dynamic programming. In addition, the book also accounts for advances in fuzzy data analysis, fuzzy statistics, and applications to reliability analysis. These topics are covered within four parts:

• Decision Making,
• Mathematical Programming,
• Statistics and Data Analysis, and
• Reliability, Maintenance and Replacement.

The scope and content of the book has resulted from multiple interactions between the editor of the volume, the series editors, the series advisory board, and experts in each chapter area. Each chapter was written by a well-known researcher on the topic and reviewed by other experts in the area. These expert reviewers sometimes became co-authors because of the extent of their contribution to the chapter. As a result, twenty-five authors from twelve countries and four continents were involved in the creation of the 13 chapters, which enhances the international character of the project and gives an idea of how carefully the Handbook has been developed.

• Analysis
• game theory
• linear optimization
• modeling
• nonlinear optimization
• operations research
• optimization

• Poznań University of Technology, Poland

  Roman Słowiński

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