1;Preface;5 2;Contents;7 3;Part I Literature Review;11 3.1;1 Survey for Portfolio Selection Under Fuzzy Uncertain Circumstances;12 3.1.1;1.1 Introduction;12 3.1.2;1.2 Portfolio Selection Based on the Fuzzy Decision Theory;14 3.1.3;1.3 Portfolio Selection Based on Possibilistic Programming;16 3.1.4;1.4 Portfolio Selection Based on Interval Programming;22 4;Part II Portfolio Selection Models Based on Fuzzy Decision Making;26 4.1;2 Fuzzy Decision Making and Maximization Decision Making;28 4.2;3 Portfolio Selection Model with Fuzzy Liquidity Constraints;30 4.2.1;3.1 Introduction;30 4.2.2;3.2 Minimax Semi-absolute Deviation Risk Function;31 4.2.3;3.3 Fuzzy Liquidity of Securities;32 4.2.4;3.4 Model Formulation;34 4.2.5;3.5 Numerical Example;46 4.2.6;3.6 Conclusion;48 4.3;4 Ramaswamy's Model;54 4.3.1;4.1 Introduction;54 4.3.2;4.2 Model Formulation;55 4.3.3;4.3 Conclusion;56 4.4;5 Le´on-Liern-Vercher's Model;58 4.4.1;5.1 Formulations of Portfolio Selection Problem;58 4.4.2;5.2 Analysis of Infeasibility of Portfolio Selection Problem;60 4.4.3;5.3 Fuzzy Portfolio Selection Model;61 4.4.4;5.4 Numerical Example;65 4.4.5;5.5 Conclusion;70 4.5;6 Fuzzy Semi-absolute Deviation Portfolio Rebalancing Model;72 4.5.1;6.1 Introduction;72 4.5.2;6.2 Linear Programming Model for Portfolio Rebalancing with Transaction Costs;73 4.5.3;6.3 Portfolio Rebalancing Model based on Fuzzy Decision;76 4.5.4;6.4 Numerical Example;80 4.5.5;6.5 Conclusion;86 4.6;7 Fuzzy Mixed Projects and Securities Portfolio Selection Model;88 4.6.1;7.1 Introduction;88 4.6.2;7.2 Bi-objective Programming Model for Mixed Asset Portfolio Selection;89 4.6.3;7.3 Fuzzy Mixed Asset Portfolio Selection Model;94 4.6.4;7.4 Numerical Example;96 4.6.5;7.5 Conclusion;97 5;Part III Portfolio Selection Models with Interval Coefficients;100 5.1;8 Linear Programming Model with Interval Coefficients;102 5.1.1;8.1 Introduction;102 5.1.2;8.2 Notations and Definitions;103 5.1.3;8.3 The Expected Return Intervals of Securities;104 5.1.4;8.4 The Interval Programming Models for Portfolio Selection;105 5.1.5;8.5 Numerical Example;112 5.1.6;8.6 Conclusion;114 5.2;9 Quadratic Programming Model with Interval Coefficients;116 5.2.1;9.1 Introduction;116 5.2.2;9.2 Crisp Model and Algorithm;116 5.2.3;9.3 The Model with Interval Coefficients and Its Extension;118 5.2.4;9.4 Numerical Example;120 5.2.5;9.5 Conclusion;123 6;Part IV Portfolio Selection Models with Possibility Distribution;124 6.1;10 Tanaka and Guo's Model with Exponential Possibility Distributions;126 6.1.1;10.1 Introduction;126 6.1.2;10.2 Possibility Distributions in Portfolio Selection Problems;127 6.1.3;10.3 Model Formulation;134 6.1.4;10.4 Numerical Example;135 6.1.5;10.5 Conclusion;137 6.2;11 Carlsson-Fuller-Majlender's Trapezoidal Possibility Model;140 6.2.1;11.1 Introduction;140 6.2.2;11.2 Model Formulation;141 6.2.3;11.3 Algorithm;147 6.2.4;11.4 Numerical Example;148 6.2.5;11.5 Conclusion;149 6.3;12 Center Spread Model in Fractional Financial Market;152 6.3.1;12.1 Estimation of Possibility Distribution by Using Semi- definite Programming;152 6.3.2;12.2 Model Formulation;153 6.3.3;12.3 Numerical Example;157 6.3.4;12.4 Conclusion;160 7;Part V Fuzzy Passive Portfolio Selection Models;162 7.1;13 Fuzzy Index Tracking Portfolio Selection Model;164 7.1.1;13.1 Introduction;164 7.1.2;13.2 Bi-objective Programming Model for Index Tracking Portfolio Selection;165 7.1.3;13.3 Fuzzy Index Tracking Portfolio Selection Model;167 7.1.4;13.4 Numerical Example;169 7.1.5;13.5 Conclusion;169 8;References;172 9;Subject Index;182