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Preface; 9th International Summer School on Aggregation Functions
AGOP 2017; General Chairs; Program Chairs; Program Committee; Local Organizing Committee Chair; Local Organizing Committee; Additional Referees; Supporting Institutions; Tutorials and Invited Talks; The Role of Aggregation Functions on Auctions; Aggregation Operators in Information Retrieval; Geometric Analysis on Cantor Sets and Trees; A Monometric-Based Approach to Data Aggregation; The Fusion of Uncertain Information: Principles and Examples of Merging Rules Across Uncertainty Theories
Aggregation of Multidimensional Data: A ReviewContents; Capacities, Survival Functions and Universal Integrals; 1 Introduction; 2 Preliminaries; 3 Capacities and Coincidence of Survival Functions; 4 Survival Functions and Possibility and Necessity Measures; 5 Concluding Remarks; References; Point-Interval-Valued Sets: Aggregation and Construction; 1 Introduction; 2 Operations on PIV Sets, Case I; 3 Operations on PIV Sets, Case II; 4 Aggregation of PIV Sets by T-norms; 5 Construction of PIV Sets; 6 Conclusion; References; On Some Applications of Williamson's Transform in Copula Theory
1 Introduction2 Examples; 3 Williamson's Transforms and Sequences of Additive Generators/Distance Functions; 4 Some Open Problems; 5 Conclusion; References; Some Remarks on Idempotent Nullnorms on Bounded Lattices; 1 Introduction; 2 Preliminaries; 3 Characterization of Idempotent Nullnorms on Bounded Lattices; 4 Concluding Remarks; References; Aggregating Fuzzy Subgroups and T-vague Groups; 1 Introduction; 2 Preliminaries; 3 Relationship Between Indistinguishability Operators, Fuzzy Subgroups and Vague Groups; 3.1 Fuzzy Subgroups; 3.2 Vague Groups
4 Aggregating Fuzzy Subgroups and Vague Groups4.1 Aggregating Fuzzy Subgroups; 4.2 Aggregating Vague Groups; 5 Concluding Remarks; References; Families of Perturbation Copulas Generalizing the FGM Family and Their Relations to Dependence Measures; 1 Introduction; 2 Copulas; 3 Dependence measures for copulas; 4 Dependence Measures for Reflections and Perturbations of Copulas; 5 Concluding Remarks; References; k-maxitivity of Order-Preserving Homomorphisms of Lattices; 1 Introduction; 2 k-maxitive Order-Preserving Homomorphisms; 3 k-maxitive Capacities and k-maxitive Aggregation Functions
4 Concluding RemarksReferences; On Some Classes of RU-Implications Satisfying U-Modus Ponens; 1 Introduction; 2 Preliminaries; 3 U-Modus Ponens; 3.1 The Case When U0 Is In Urep; 3.2 The Case When U0 Is In Ucos; 4 Conclusions and Future Work; References; CMin-Integral: A Choquet-Like Aggregation Function Based on the Minimum t-Norm for Applications to Fuzzy Rule-Based Classification Systems; 1 Introduction; 2 Preliminaries; 3 Constructing the CMin-Integral; 4 The Fuzzy Reasoning Method with the CMin-Integral; 5 Experimental Results; 5.1 Experimental Results; 6 Conclusion; References
AGOP 2017; General Chairs; Program Chairs; Program Committee; Local Organizing Committee Chair; Local Organizing Committee; Additional Referees; Supporting Institutions; Tutorials and Invited Talks; The Role of Aggregation Functions on Auctions; Aggregation Operators in Information Retrieval; Geometric Analysis on Cantor Sets and Trees; A Monometric-Based Approach to Data Aggregation; The Fusion of Uncertain Information: Principles and Examples of Merging Rules Across Uncertainty Theories
Aggregation of Multidimensional Data: A ReviewContents; Capacities, Survival Functions and Universal Integrals; 1 Introduction; 2 Preliminaries; 3 Capacities and Coincidence of Survival Functions; 4 Survival Functions and Possibility and Necessity Measures; 5 Concluding Remarks; References; Point-Interval-Valued Sets: Aggregation and Construction; 1 Introduction; 2 Operations on PIV Sets, Case I; 3 Operations on PIV Sets, Case II; 4 Aggregation of PIV Sets by T-norms; 5 Construction of PIV Sets; 6 Conclusion; References; On Some Applications of Williamson's Transform in Copula Theory
1 Introduction2 Examples; 3 Williamson's Transforms and Sequences of Additive Generators/Distance Functions; 4 Some Open Problems; 5 Conclusion; References; Some Remarks on Idempotent Nullnorms on Bounded Lattices; 1 Introduction; 2 Preliminaries; 3 Characterization of Idempotent Nullnorms on Bounded Lattices; 4 Concluding Remarks; References; Aggregating Fuzzy Subgroups and T-vague Groups; 1 Introduction; 2 Preliminaries; 3 Relationship Between Indistinguishability Operators, Fuzzy Subgroups and Vague Groups; 3.1 Fuzzy Subgroups; 3.2 Vague Groups
4 Aggregating Fuzzy Subgroups and Vague Groups4.1 Aggregating Fuzzy Subgroups; 4.2 Aggregating Vague Groups; 5 Concluding Remarks; References; Families of Perturbation Copulas Generalizing the FGM Family and Their Relations to Dependence Measures; 1 Introduction; 2 Copulas; 3 Dependence measures for copulas; 4 Dependence Measures for Reflections and Perturbations of Copulas; 5 Concluding Remarks; References; k-maxitivity of Order-Preserving Homomorphisms of Lattices; 1 Introduction; 2 k-maxitive Order-Preserving Homomorphisms; 3 k-maxitive Capacities and k-maxitive Aggregation Functions
4 Concluding RemarksReferences; On Some Classes of RU-Implications Satisfying U-Modus Ponens; 1 Introduction; 2 Preliminaries; 3 U-Modus Ponens; 3.1 The Case When U0 Is In Urep; 3.2 The Case When U0 Is In Ucos; 4 Conclusions and Future Work; References; CMin-Integral: A Choquet-Like Aggregation Function Based on the Minimum t-Norm for Applications to Fuzzy Rule-Based Classification Systems; 1 Introduction; 2 Preliminaries; 3 Constructing the CMin-Integral; 4 The Fuzzy Reasoning Method with the CMin-Integral; 5 Experimental Results; 5.1 Experimental Results; 6 Conclusion; References