Physical description 
1 online resource. 
Series 
Advances in intelligent systems and computing ; 981 

Advances in intelligent systems and computing ; 981.


Springer Intelligent Technologies and Robotics eBooks 2019 English+International

Bibliography 
Includes bibliographical references and index. 
Contents 
Intro; Preface; Contents; Invited Speakers; Qualitative Integrals and Cointegrals: A Survey; 1 Introduction; 2 Motivations; 3 Qualitative Integrals and Cointegrals; 4 Elementary Properties; 4.1 Comparison Between qCointegrals and qIntegrals; 4.2 Elementary Properties; 4.3 Inequalities for qIntegrals; 5 Characterization Results; 5.1 Characterisation Results for qIntegrals; 5.2 Characterisation Theorems for qcointegrals; 6 Upper and Lower Qualitative Possibility Integrals; 7 Conclusion; References; The Concave and Decomposition Integrals: A Review and Future Directions; 1 Introduction 

2 A Motivating Example3 Capacity and Decompositions of a Random Variable; 3.1 The Concave and Choquet Integrals; 3.2 The DecompositionIntegral; 3.3 Pan Integral and Shilkret Integral; 4 Properties of the DecompositionIntegral; 5 Future Directions; References; Super Level Measures: Averaging Before Integrating; References; On Extreme Value Copulas with Given Concordance Measures; 1 Introduction; 2 Notation; 3 Dependence Measures; 4 Main Results; 5 Special Cases; 6 Constraints; 7 Proofs and Auxiliary Results; 7.1 Proof of Theorem 1; 7.2 Proofs of Propositions 1,...,6 

7.3 Proofs of ̀̀constraints''References; Some Remarks About Polynomial Aggregation Functions; 1 Introduction; 2 Preliminaries; 3 Polynomial Binary Aggregation Functions with a Non Trivial 0 Region; 3.1 The Case of Degree 0 or 1; 3.2 The Case of Degree 2; 4 Polynomial Binary Aggregation Functions with a Non Trivial 1region; 5 Conclusions and Future Work; References; Other Speakers; Aggregation Through Composition: Unification of Three Principal Fuzzy Theories; 1 Introduction; 2 Preliminaries; 3 Fuzzy Rough Sets; 4 Ftransform; 5 Fuzzy Automata 

5.1 Fuzzy Automaton Based on Fuzzy Transition Function5.2 Fuzzy RelationBased Fuzzy Automaton; 6 Conclusion; References; PseudoAdditions and Shift Invariant Aggregation Functions; 1 Introduction; 2 Shift Invariant Aggregation Functions; 3 PseudoAdditions and Shift Invariant Aggregation Functions; 4 PseudoAdditions that Correspond to Some Fixed Aggregation Functions; 5 Concluding Remarks; References; Importation Algebras; 1 Introduction; 2 Importation Algebra  Definition and Examples; 2.1 Importation Algebra; 2.2 Examples of Importation Algebra 

2.3 Mutual Independence of the Axioms (NP), (QN) and (LI)3 Order Based on Importation Algebras; 3.1 Order on Importation Algebras; 4 Importation Algebras When P = [0,1]; 4.1 Importation Algebras from Fuzzy Implications; 4.2 Importation Algebras Where I Is Not a Fuzzy Implication; 5 Recovering the Underlying Order from an Importation Algebra; 6 Concluding Remarks; References; On Some Inner Dependence Relationships in Hierarchical Structure Under Hesitant Fuzzy Environment; 1 Introduction; 2 Hesitant Fuzzy Set and Its Basic Operations; 3 Hierarchy of Criteria with Partitioned Structure 
Summary 
This book collects the contributions presented at AGOP 2019, the 10th International Summer School on Aggregation Operators, which took place in Olomouc (Czech Republic) in July 2019. It includes contributions on topics ranging from the theory and foundations of aggregation functions to their various applications. Aggregation functions have numerous applications, including, but not limited to, data fusion, statistics, image processing, and decisionmaking. They are usually defined as those functions that are monotone with respect to each input and that satisfy various natural boundary conditions. In particular settings, these conditions might be relaxed or otherwise customized according to the users needs. Noteworthy classes of aggregation functions include means, tnorms and tconorms, uninorms and nullnorms, copulas and fuzzy integrals (e.g., the Choquet and Sugeno integrals). This book provides a valuable overview of recent research trends in this area. 
Other author 
Halaš, Radomír, editor.


Gagolewski, Marek, editor.


Mesiar, Radko, editor.


SpringerLink issuing body.

Subject 
Aggregation operators  Congresses.


Soft computing  Congresses.


Mathematical statistics  Congresses.


Electronic books. 

Electronic books. 

Conference papers and proceedings. 
ISBN 
9783030194949 (electronic bk.) 

3030194949 (electronic bk.) 

9783030194932 
Standard Number 
10.1007/978303019 
