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Chapter 1 Intuitionistic Fuzzy Information Aggregation 1

1.1 Intuitionistic Fuzzy Sets 2

1.2 Operational Laws of Intuitionistic Fuzzy Numbers 7

1.3 Intuitionistic Fuzzy Aggregation Operators 14

1.4 Intuitionistic Fuzzy Bonferroni Means 51

1.5 Generalized Intuitionistic Fuzzy Aggregation Operators 69

1.6 Intuitionistic Fuzzy Aggregation Operators Based on Choquet Integral 80

1.7 Induced Generalized Intuitionistic Fuzzy Aggregation Operators 87

References 98

Chapter 2 Interval-Valued Intuitionistic Fuzzy Information Aggregation 103

2.1 Interval-Valued Intuitionistic Fuzzy Sets 103

2.2 Operational Laws of Interval-Valued Intuitionistic Fuzzy Numbers 104

2.3 Interval-Valued Intuitionistic Fuzzy Aggregation Operators 107

2.4 Interval-Valued Intuitionistic Fuzzy Bonferroni Means 125

2.5 Generalized Interval-Valued Intuitionistic Fuzzy Aggregation Operators 131

2.6 Interval-Valued Intuitionistic Fuzzy Aggregation Operators Based on Choquet Integral 135

2.7 Induced Generalized Interval-Valued Intuitionistic Fuzzy Aggregation Operators 142

References 148

Chapter 3 Correlation,Distance and Similarity Measures of Intuitionistic Fuzzy Sets 151

3.1 Correlation Measures of Intuitionistic Fuzzy Sets 151

3.2 Distance and Similarity Measures of Intuitionistic Fuzzy Sets 162

3.3 Distance and Similarity Measures of Interval-Valued Intuitionistic Fuzzy Sets 175

3.3.1 Distance and Similarity Measures Based on Geometric Distance Models 175

3.3.2 Distance and Similarity Measures Based on Set-Theoretic Approaches 178

References 187

Chapter 4 Decision Making Models and Approaches Based on Intuitionistic Preference Relations 189

4.1 Intuitionistic Preference Relations 190

4.2 Group Decision Making Based on Intuitionistic Preference Relations 193

4.3 Incomplete Intuitionistic Preference Relations 194

4.4 Group Decision Making Based on Incomplete Intuitionistic Preference Relations 196

4.5 Interval-Valued Intuitionistic Preference Relations 204

4.6 Group Decision Making Based on Interval-Valued Intuitionistic Preference Relations 206

4.7 Group Decision Making Based on Incomplete Interval-Valued Intuitionistic Preference Relations 208

4.8 Multi-Attribute Decision Making with Intuitionistic Fuzzy Preference Information on Alternatives 218

4.8.1 Consistent Intuitionistic Preference Relations 219

4.8.2 Linear Programming Models with Intuitionistic Fuzzy Information 220

4.8.3 Intuitionistic Fuzzy Decision Making Based on Linear Programming Models 226

4.9 Multi-Attribute Decision Making Based on Various Intuitionistic Preference Structures 231

4.9.1 Multi-Attribute Decision Making Models Based on Intuitionistic Preference Relations 231

4.9.2 Multi-Attribute Decision Making Models Based on Incomplete Intuitionistic Preference Relations 233

4.9.3 Multi-Attribute Decision Making Models Based on Different Types of Intuitionistic Preference Relations 234

4.10 Consistency Analysis on Group Decision Making with Intuitionistic Preference Relations 237

4.11 Consistency Analysis on Group Decision Making with Interval-Valued Intuitionistic Preference Relations 242

References 245

Chapter 5 Projection Model-Based Approaches to Intuitionistic Fuzzy Multi-Attribute Decision Making 249

5.1 Multi-Attribute Decision Making with Intuitionistic Fuzzy Information 249

5.2 Multi-Attribute Decision Making with Interval-Valued Intuitionistic Fuzzy Information 252

References 258

Chapter 6 Dynamic Intuitionistic Fuzzy Multi-Attribute Decision Making 259

6.1 Dynamic Intuitionistic Fuzzy Weighted Averaging Operators 259

6.2 Dynamic Intuitionistic Fuzzy Multi-Attribute Decision Making 271

6.3 Uncertain Dynamic Intuitionistic Fuzzy Multi-Attribute Decision Making 274

References 282

Chapter 7 Nonlinear Optimization Models for Multi-Attribute Group Decision Making with Intuitionistic Fuzzy Information 285

7.1 Nonlinear Optimization Models for Determining Decision Makers' Weights 285

7.2 Extended Nonlinear Optimization Models in Interval-Valued Intuitionistic Fuzzy Situations 295

7.3 Numerical Analysis 302

References 304

Index 305