Ebook: Aggregation and Fusion of Imperfect Information

This book presents the main tools for aggregation of information given by several members of a group or expressed in multiple criteria, and for fusion of data provided by several sources. It focuses on the case where the availability knowledge is imperfect, which means that uncertainty and/or imprecision must be taken into account. The book contains both theoretical and applied studies of aggregation and fusion methods in the main frameworks: probability theory, evidence theory, fuzzy set and possibility theory. The latter is more developed because it allows to manage both imprecise and uncertain knowledge. Applications to decision-making, image processing, control and classification are described. The reader can find a state-of-the-art of the main methodologies, as well as more advanced results and descriptions of utilizations.

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Content:
Front Matter....Pages I-VIII
Front Matter....Pages 1-1
On Robust Aggregation Procedures....Pages 3-10
Triangular Norm-Based Aggregation of Evidence Under Fuzziness....Pages 11-35
Aggregation Functions Defined by t-Norms and t-Conorms....Pages 36-48
Front Matter....Pages 49-49
Fuzzy Integral as a Flexible and Interpretable Tool of Aggregation....Pages 51-72
Using Priorities in Aggregation Connectives....Pages 73-97
Aggregation Operators for Fuzzy Rationality Measures....Pages 98-105
Aggregation in Decision Making with Belief Structures....Pages 106-117
Multistage Fuzzy Control with a Soft Aggregation of Stage Scores....Pages 118-137
Front Matter....Pages 139-139
From Semantic to Syntactic Approaches to Information Combination in Possibilistic Logic....Pages 141-161
Aggregation of Imprecise Probabilities....Pages 162-188
Fusion of Image Information under Imprecision....Pages 189-213
Fuzzy Linguistic Methods for the Aggregation of Complementary Sensor Information....Pages 214-230
Uncertain Data Aggregation in Classification and Tracking Processes....Pages 231-260
A Generalized Fuzzy Clustering Model Based on Aggregation Operators and its Applications....Pages 261-278

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Content:
Front Matter....Pages I-VIII
Front Matter....Pages 1-1
On Robust Aggregation Procedures....Pages 3-10
Triangular Norm-Based Aggregation of Evidence Under Fuzziness....Pages 11-35
Aggregation Functions Defined by t-Norms and t-Conorms....Pages 36-48
Front Matter....Pages 49-49
Fuzzy Integral as a Flexible and Interpretable Tool of Aggregation....Pages 51-72
Using Priorities in Aggregation Connectives....Pages 73-97
Aggregation Operators for Fuzzy Rationality Measures....Pages 98-105
Aggregation in Decision Making with Belief Structures....Pages 106-117
Multistage Fuzzy Control with a Soft Aggregation of Stage Scores....Pages 118-137
Front Matter....Pages 139-139
From Semantic to Syntactic Approaches to Information Combination in Possibilistic Logic....Pages 141-161
Aggregation of Imprecise Probabilities....Pages 162-188
Fusion of Image Information under Imprecision....Pages 189-213
Fuzzy Linguistic Methods for the Aggregation of Complementary Sensor Information....Pages 214-230
Uncertain Data Aggregation in Classification and Tracking Processes....Pages 231-260
A Generalized Fuzzy Clustering Model Based on Aggregation Operators and its Applications....Pages 261-278
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