Contents
Part Ⅰ Basic Theory and Method of Comprehensive Evaluation: Based on Perspective of Elements
Chapter 1 Introduction 3
Quarter 1 Basic Problems and Perception of Comprehensive Evaluation 3
Quarter 2 Comprehensive Evaluation Process and Method System Based on the Perspective of Elements 27
Quarter 3 Several Frontier Problems of Comprehensive Evaluation 51
Chapter 2 Indicator Processing Theory 57
Quarter 1 Identification and Processing of Abnormal Indicators 58
Quarter 2 Processing of Missing Data of Indicators—Interpolation Method 72
Quarter 3 Data Quality Control Method 77
Quarter 4 Dimensionless Method and Its Application in Static Evaluation 78
Quarter 5 Dimensionless Method and Its Application in Dynamic Evaluation 90
Chapter 3 Weight Theory 95
Quarter 1 Single Criterion AHP Constructing Weight Method 95
Quarter 2 AHP Based on D Measure 102
Quarter 3 AHP Theory Based on Incomplete Matrix 107
Quarter 4 Expert Group Constructing Weight Theory 110
Quarter 5 Other Commonly Used Constructing Weight Methods 116
Chapter 4 Aggregation Operators Theory 127
Quarter 1 Aggregation Method Based on Indicator Performance 128
Quarter 2 Aggregation Method Based on Location Information 136
Quarter 3 Aggregation Method Combining Performance with Location Information 151
Part Ⅱ Frontier Problems and Applications of Comprehensive Evaluation Theory
Chapter 5 Frontier Problems and Applications Based on BoD Constructing Weight Method 165
Quarter 1 The Basic Idea of BoD Constructing Weight Method 165
Quarter 2 Non-compensatory BoD Constructing Weight Method and Its Application 169
Quarter 3 Compensatory BoD Constructing Weight Method and Its Application 177
Quarter 4 Extensions of BoD Method and Its Application 181
Chapter 6 Frontier Problems and Application of Group Evaluation Based on Subject-object Grouping 190
Quarter 1 Group Evaluation Problems Based on Subject-object Grouping 190
Quarter 2 Chain Group Evaluation Problem Based on Subject-object Grouping 191
Quarter 3 Two-stage Group Evaluation Problem Based on Subject-object Grouping 201
Chapter 7 Frontier Problems and Applications of Comprehensive Evaluation Based on Interval Number 222
Quarter 1 Interval Number and Its Comprehensive Evaluation 222
Quarter 2 Multi-index TOPSIS Method Based on Interval Number 226
Quarter 3 Evaluation Problem Based on Interval OWA Operator 230
Quarter 4 Multi-point Principal Component Evaluation Problem Based on Interval Distribution Information 235
Chapter 8 Frontier Problems and Applications Based on Fuzzy Theory 249
Quarter 1 Comprehensive Evaluation Problems Based on Fuzzy Theory 249
Quarter 2 Comprehensive Evaluation Problems and Applications based on Double Hierarchy Linguistic Term Set 252
Quarter 3 Comprehensive Evaluation Problems and Applications Based on Pythagorean Fuzzy Set 266
Quarter 4 Comprehensive Evaluation Problems and Applications Based on Hesitant Probabilistic Fuzzy Number 281
Chapter 9 Frontier Problems and Applications of Comprehensive Evaluation Based on Functional Data 298
Quarter 1 The “Global” Scatter Degree Method Based on Functional Data 299
Quarter 2 Functional Clustering Method Based on Extreme Point Bias Compensation 312
Quarter 3 Interval Functional Principal Component Analysis 332
References 351
Appendixes 376
Postscript 379
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