Preface |
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ix | |
Authors |
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xi | |
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1 | (7) |
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1 | (4) |
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1.2 The Objectives Of This Book |
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5 | (1) |
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1.3 The Structure Of This Book |
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6 | (2) |
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Chapter 2 Probabilistic knowledge-based systems |
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8 | (15) |
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2.1 Knowledge Base Representation |
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8 | (6) |
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2.1.1 Knowledge Representation Methods |
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8 | (2) |
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2.1.2 Probabilistic Knowledge Base Representation |
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10 | (4) |
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2.2 Types Of Knowledge-Based Systems |
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14 | (2) |
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2.3 The Knowledge-Based System Development |
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16 | (1) |
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2.4 Components Of A Probabilistic Knowledge-Based System |
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17 | (2) |
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2.5 Comparing Probabilistic Knowledge-Based System With Other Systems |
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19 | (3) |
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22 | (1) |
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Chapter 3 Inconsistency measures for probabilistic knowledge bases |
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23 | (35) |
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3.1 Overview Of Inconsistency Measures |
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23 | (4) |
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23 | (1) |
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3.1.2 Development of Inconsistency Measures |
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24 | (3) |
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3.2 Representing The Inconsistency Of The Probabilistic Knowledge Base |
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27 | (6) |
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27 | (2) |
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3.2.2 Characteristic Model |
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29 | (2) |
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3.2.3 Desired Properties of Inconsistency Measures |
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31 | (2) |
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3.3 Inconsistency Measures For Probabilistic Knowledge Bases |
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33 | (16) |
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3.3.1 The Basic Inconsistency Measures |
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33 | (7) |
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3.3.2 The Norm-based Inconsistency Measures |
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40 | (5) |
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3.3.3 The Unnormalized Inconsistency Measure |
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45 | (4) |
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3.4 Algorithms For Computing The Inconsistency Measures |
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49 | (8) |
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3.4.1 The Computational Complexity |
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49 | (1) |
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3.4.2 The General Methods |
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50 | (1) |
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51 | (6) |
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57 | (1) |
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Chapter 4 Methods for restoring consistency in probabilistic knowledge bases |
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58 | (33) |
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4.1 Overview Of Handling Inconsistencies |
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58 | (5) |
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4.1.1 The Inconsistency Resolution Problem |
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58 | (2) |
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4.1.2 Methods of Handling Inconsistencies |
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60 | (3) |
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4.2 Restoring Consistency In Probabilistic Knowledge Bases |
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63 | (4) |
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63 | (1) |
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4.2.2 Desired Properties of Consistency-Restoring Operator |
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64 | (2) |
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4.2.3 A General Model for Restoring Consistency |
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66 | (1) |
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4.3 Methods For Restoring Consistency |
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67 | (17) |
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4.3.1 The Norm-based Consistency-restoring Problem |
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67 | (10) |
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4.3.2 The Unnormalized Consistency-Restoring Problem |
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77 | (7) |
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4.4 Algorithms For Restoring Consistency |
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84 | (6) |
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90 | (1) |
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Chapter 5 Distance-based methods for integrating probabilistic knowledge bases |
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91 | (41) |
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5.1 Overview Of Knowledge Integration Methods |
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91 | (7) |
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5.1.1 The Knowledge Integration Problem |
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91 | (3) |
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5.1.2 Methods for Integrating Knowledge Bases |
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94 | (4) |
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5.2 Probabilistic Knowledge Integration |
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98 | (12) |
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5.2.1 Divergence Functions |
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98 | (4) |
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5.2.2 Distance-based Model for Integrating Probabilistic Knowledge Bases |
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102 | (2) |
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5.2.3 Desired Properties of Distance-based Probabilistic Integrating Operator |
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104 | (2) |
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5.2.4 Finding the Satisfying Probability Vector |
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106 | (4) |
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5.3 The Problems With Distance-Based Integrating Probabilistic Knowledge Bases |
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110 | (2) |
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5.4 Distance-Based Integrating Operators |
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112 | (15) |
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5.4.1 The Class of Probabilistic Integrating Operators |
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112 | (3) |
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5.4.2 The Class of Probabilistic Integrating Operators rHU |
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115 | (12) |
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5.5 Integration Algorithms |
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127 | (4) |
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5.5.1 Algorithm for Finding the Satisfying Probability Vector |
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127 | (1) |
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5.5.2 The Distance-based Integration Algorithm |
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128 | (2) |
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130 | (1) |
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131 | (1) |
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Chapter 6 Value-based method for integrating probabilistic knowledge bases |
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132 | (15) |
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6.1 Value-Based Probabilistic Knowledge Integration |
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132 | (6) |
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132 | (4) |
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6.1.2 Value-based Model for Integrating Probabilistic Knowledge Bases |
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136 | (1) |
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6.1.3 Desired Properties of Value-based Probabilistic Integrating Operator |
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137 | (1) |
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6.2 The Probability Value-Based Integrating Operators |
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138 | (3) |
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6.3 The Probability Value-Based Integration Algorithms |
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141 | (5) |
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6.3.1 Algorithm for Deducting Probabilistic Constraints |
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141 | (2) |
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6.3.2 Probability Value-based Integration Algorithms |
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143 | (3) |
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146 | (1) |
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Chapter 7 Experiments and Applications |
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147 | (21) |
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147 | (15) |
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7.1.1 Experimental Purpose and Assumptions |
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147 | (2) |
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7.1.2 Experiment Settings |
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149 | (2) |
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7.1.3 Experimental Implementation |
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151 | (1) |
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7.1.4 Results and Analysis |
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152 | (10) |
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162 | (6) |
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7.2.1 Artificial Intelligence and Machine Learning |
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162 | (1) |
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162 | (2) |
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7.2.1.2 Recommendation Systems |
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164 | (1) |
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7.2.1.3 Group Decision-making |
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165 | (1) |
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165 | (1) |
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7.2.3 Software Engineering |
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166 | (1) |
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167 | (1) |
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Chapter 8 Conclusions and open problems |
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168 | (3) |
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168 | (2) |
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170 | (1) |
Bibliography |
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171 | (15) |
Index |
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186 | |