Aggregation Functions in Theory and in Practise

Part I. Invited Talks

1. Functional Equations Involving Fuzzy Implications and Their Applications in Approximate Reasoning
Michał Baczyński

2. Aggregation Operators and Observable Properties of Human Reasoning
Jozo Dujmović

3. Copulas, Tail Dependence and Applications to the Analysis of Financial Time Series
Fabrizio Durante

4. On Quadratic Constructions of Copulas
Anna Kolesárová

5. Compatible Group Decisions
Gabriella Pigozzi

6. A Review of the Relationships between Aggregation, Implication and Negation Functions
Ana Pradera

Part II. Copulas

7. On Some Construction Methods for Bivariate Copulas
Radko Mesiar, Jozef Komorník, Magda Komorníková

8. On the Construction of Semiquadratic Copulas
Tarad Jwaid, Bernard Baets, Hans Meyer

9. Copulas and Self-affine Functions
Enrique Amo, Manuel Díaz Carrillo, Juan Fernández Sánchez

10. Diagonal Copulas
Radko Mesiar, Jana Kalická

11. R Package to Handle Archimax or Any User-Defined Continuous Copula Construction: acopula

Tomáš Bacigál

12. How to Prove Sklar’s Theorem
Fabrizio Durante, Juan Fernández-Sánchez, Carlo Sempi

Part III. Ordered Aggregation

13. OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators: Axiomatic Analysis under Arity-Dependence (I)
Anna Cena, Marek Gagolewski

14. OM3: Ordered Maxitive, Minitive, and Modular Aggregation Operators. A Simulation Study (II)
Anna Cena, Marek Gagolewski

15. Duplication in OWA-Generated Positional Aggregation Rules
José Luis García-Lapresta, Miguel Martínez-Panero

16. Application of OWA Operators in the L-Fuzzy Concept Analysis
C. Alcalde, A. Burusco, R. Fuentes-González

17. Norm Aggregations and OWA Operators
José M. Merigó, Ronald R. Yager

Part IV. T-norms

18. Migrativity of Uninorms over T-norms and T-conorms
M. Mas, M. Monserrat, D. Ruiz-Aguilera, J. Torrens

19. Additive Generators of Overlap Functions
Graçaliz Pereira Dimuro, Benjamín Bedregal

20. Continuous T-norms and T-conorms Satisfying the Principle of Inclusion and Exclusion
Mária Kuková, Mirko Navara

21. On Mulholland Inequality and Dominance of Strict Triangular Norms
Milan Petrík

22. Distributivity Equation in the Class of Noncommutative T-Operators
Paweł Drygaś

23. On Some Classes of Discrete Additive Generators
G. Mayor, J. Monreal

Part V. Multi-Criteria Decision Making

24. The Consensus Functional Equation in Agreement Theory
Juan Carlos Candeal, Esteban Induráin, José Alberto Molina

25. A Discriminative Dynamic Index Based on Bipolar Aggregation Operators for Supporting Dynamic Multi-criteria Decision Making
Yeleny Zulueta, Juan Martínez-Moreno, Luis Martínez, Macarena Espinilla

26. Social Choice Voting with Linguistic Preferences and Difference in Support
Patrizia Pérez-Asurmendi, Francisco Chiclana

27. Calibration of Utility Function
Jana Špirková

28. Uncertain Choices: A Comparison of Fuzzy and Probabilistic Approaches
Davide Martinetti, Susana Montes, Susana Díaz, Bernard Baets

29. Bayes Theorem, Uninorms and Aggregating Expert Opinions
József Dombi

Part VI. Applications

30. On the Induction of New Fuzzy Relations, New Fuzzy Operators and Their Aggregation
Neus Carmona, Jorge Elorza, Jordi Recasens, Jean Bragard

31. Comparison of Different Algorithms of Approximation by Extensional Fuzzy Subsets
Gabriel Mattioli, Jordi Recasens

32. On the Symmetrization of Quasi-metrics: An Aggregation Perspective
J. Martín, G. Mayor, O. Valero

33. Aggregation Operators and Quadric Hypersurfaces
J. Recasens

34. An Analysis of Bilevel Linear Programming Solving Parameters Based on Factoraggregation Approach
Pavels Orlovs, Olga Montvida, Svetlana Asmuss

35. Upper Bounding Overlaps by Groupings
Nicolás Madrid, Edurne Barrenechea, Humberto Bustince, Javier Fernadez, Irina Perfilieva

36. A Preliminary Study of the Usage of Similarity Measures to Detect Singular Points in Fingerprint Images
Juan Cerrón, Mikel Galar, Carlos Lopez-Molina, Edurne Barrenechea, Humberto Bustince

37. F-transform in View of Aggregation Functions
Irina Perfilieva, Vladik Kreinovich

38. Fuzzy Hit-or-Miss Transform Using the Fuzzy Mathematical Morphology Based on T-norms
M. González-Hidalgo, S. Massanet, A. Mir, D. Ruiz-Aguilera

39. Image Reduction Operators as Aggregation Functions: Fuzzy Transform and Undersampling
D. Paternain, A. Jurio, R. Mesiar, G. Beliakov, H. Bustince

Part VIII. Implications

40. Implications Satisfying the Law of Importation with a Given T-norm
S. Massanet, J. Torrens

41. Fuzzy Implication Classes Satisfying a Boolean-Like Law
Anderson Cruz, Benjamín Bedregal, Regivan Santiago

42. Implications Generated by Triples of Monotone Functions
Dana Hliněná, Martin Kalina, Pavol Král’

43. A Generalization of a Characterization Theorem of Restricted Equivalence Functions
Eduardo Palmeira, Benjamín Bedregal, Humberto Bustince

Part IX. Integrals

44. Some New Definitions of Indicators for the Choquet Integral
Jaume Belles-Sampera, José M. Merigó, Miguel Santolino

45. Exponential Family of Level Dependent Choquet Integral Based Class-Conditional Probability Functions
Vicenç Torra, Yasuo Narukawa

46. Axiomatic Foundations of the Universal Integral in Terms of Aggregation Functions and Preference Relations
Salvatore Greco, Radko Mesiar, Fabio Rindone

Part X. Incomplete Data

47. Aggregation of Incomplete Qualitative Information
Juan Vicente Riera, Joan Torrens

48. Consistency and Stability in Aggregation Operators: An Application to Missing Data Problems
Daniel Gomez, Karina Rojas, Javier Montero, J. Tinguaro Rodríguez

Part XI. Aggregation on Lattices

49. Quasi-OWA Operators on Complete Lattices
I. Lizasoain

50. Obtaining Multi-argument Fuzzy Measures on Lattices
S. Cubillo, T. Calvo, E. E. Castiñeira

51. Aggregation of Convex Intuitionistic Fuzzy Sets
Vladimír Janiš, Susana Montes

Keywords: Engineering, Computational Intelligence, Artificial Intelligence (incl. Robotics)