Ebook: Fuzzy Sets in Decision Analysis, Operations Research and Statistics

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.

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Content:
Front Matter....Pages i-xxiv
Front Matter....Pages 1-1
Fuzzy Preference Modeling....Pages 3-30
Fuzzy Aggregation of Numerical Preferences....Pages 31-68
The Use of Fuzzy Preference Models in Multiple Criteria Choice, Ranking and Sorting....Pages 69-101
Group Decision Making Under Fuzziness....Pages 103-136
Elements of Fuzzy Game Theory....Pages 137-176
Front Matter....Pages 177-177
Fuzzy Linear Programming with Single or Multiple Objective Functions....Pages 179-213
Fuzzy Nonlinear Programming with Single or Multiple Objective Functions....Pages 215-248
Discrete Fuzzy Optimization....Pages 249-280
Fuzzy Dynamic Programming....Pages 281-307
Front Matter....Pages 309-309
Fuzzy Set-Theoretic Methods in Statistics....Pages 311-347
Fuzzy Regression Analysis....Pages 349-387
Front Matter....Pages 389-389
Reliability....Pages 391-420
Maintenance and Replacement Models under a Fuzzy Framework....Pages 421-447
Back Matter....Pages 449-453

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Content:
Front Matter....Pages i-xxiv
Front Matter....Pages 1-1
Fuzzy Preference Modeling....Pages 3-30
Fuzzy Aggregation of Numerical Preferences....Pages 31-68
The Use of Fuzzy Preference Models in Multiple Criteria Choice, Ranking and Sorting....Pages 69-101
Group Decision Making Under Fuzziness....Pages 103-136
Elements of Fuzzy Game Theory....Pages 137-176
Front Matter....Pages 177-177
Fuzzy Linear Programming with Single or Multiple Objective Functions....Pages 179-213
Fuzzy Nonlinear Programming with Single or Multiple Objective Functions....Pages 215-248
Discrete Fuzzy Optimization....Pages 249-280
Fuzzy Dynamic Programming....Pages 281-307
Front Matter....Pages 309-309
Fuzzy Set-Theoretic Methods in Statistics....Pages 311-347
Fuzzy Regression Analysis....Pages 349-387
Front Matter....Pages 389-389
Reliability....Pages 391-420
Maintenance and Replacement Models under a Fuzzy Framework....Pages 421-447
Back Matter....Pages 449-453
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