Preface: Editorial to the special issue devoted to "Copulas, measures and integrals"
Information Sciences: an International Journal
New constructions of diagonal patchwork copulas
Information Sciences: an International Journal
Generalization of the Jensen inequality for pseudo-integral
Information Sciences: an International Journal
Generalized Bonferroni mean operators in multi-criteria aggregation
Fuzzy Sets and Systems
Continuous R-implications generated from representable aggregation functions
Fuzzy Sets and Systems
Quasi-copulas and signed measures
Fuzzy Sets and Systems
Sugeno integral based on absolutely monotone real set functions
Fuzzy Sets and Systems
Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes
Information Sciences: an International Journal
Smooth aggregation functions on finite scales
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Dual representable aggregation functions and their derived S-implications
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Explicit descriptions of bisymmetric Sugeno integrals
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Measuring the influence of the kth largest variable on functions over the unit hypercube
MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
Measuring the interactions among variables of functions over the unit hypercube
MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
Sugeno utility functions I: axiomatizations
MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
Sugeno utility functions II: factorizations
MDAI'10 Proceedings of the 7th international conference on Modeling decisions for artificial intelligence
Invariant functionals on completely distributive lattices
Fuzzy Sets and Systems
Smooth t-subnorms on finite scales
Fuzzy Sets and Systems
Citation-based journal ranks: The use of fuzzy measures
Fuzzy Sets and Systems
Special fuzzy measures on infinite countable sets and related aggregation functions
Fuzzy Sets and Systems
Bivariate quasi-copulas and doubly stochastic signed measures
Fuzzy Sets and Systems
Axiomatizations of Lovász extensions of pseudo-Boolean functions
Fuzzy Sets and Systems
Pseudo-polynomial functions over finite distributive lattices
ECSQARU'11 Proceedings of the 11th European conference on Symbolic and quantitative approaches to reasoning with uncertainty
A family of measures for best top-n class-selective decision rules
Pattern Recognition
Information Sciences: an International Journal
On the α-migrativity of multivariate semi-copulas
Information Sciences: an International Journal
Aggregation of subjective evaluations based on discrete fuzzy numbers
Fuzzy Sets and Systems
The arity gap of order-preserving functions and extensions of pseudo-Boolean functions
Discrete Applied Mathematics
Expert Systems with Applications: An International Journal
Construction of strong equality index from implication operators
Fuzzy Sets and Systems
Information aggregation in intelligent systems: An application oriented approach
Knowledge-Based Systems
Choquet integral on the real line as a generalization of the OWA operator
MDAI'12 Proceedings of the 9th international conference on Modeling Decisions for Artificial Intelligence
A quantile approach to integration with respect to non-additive measures
MDAI'12 Proceedings of the 9th international conference on Modeling Decisions for Artificial Intelligence
A new index based on sparsity measures for comparing fuzzy partitions
SSPR'12/SPR'12 Proceedings of the 2012 Joint IAPR international conference on Structural, Syntactic, and Statistical Pattern Recognition
Journal of Mathematical Imaging and Vision
Fuzzy Sets and Systems
Block similarity in fuzzy tuples
Fuzzy Sets and Systems
A construction method of semicopulas from fuzzy negations
Fuzzy Sets and Systems
An extension of the migrative property for uninorms
Information Sciences: an International Journal
On a certain class of aggregative operators
Information Sciences: an International Journal
Strictly stable families of aggregation operators
Fuzzy Sets and Systems
Bivariate copulas generated by perturbations
Fuzzy Sets and Systems
On fuzzy implications: An axiomatic approach
International Journal of Approximate Reasoning
Dominance rules for the choquet integral in multiobjective dynamic programming
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
Short Communication: A note on quasi-copulas and signed measures
Fuzzy Sets and Systems
Statistical analysis of parametric t-norms
Information Sciences: an International Journal
Pseudo-Lp space and convergence
Fuzzy Sets and Systems
Pseudo-polynomial functions over finite distributive lattices
Fuzzy Sets and Systems
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Aggregation is the process of combining several numerical values into a single representative value, and an aggregation function performs this operation. These functions arise wherever aggregating information is important: applied and pure mathematics (probability, statistics, decision theory, functional equations), operations research, computer science, and many applied fields (economics and finance, pattern recognition and image processing, data fusion, etc.). This is a comprehensive, rigorous and self-contained exposition of aggregation functions. Classes of aggregation functions covered include triangular norms and conorms, copulas, means and averages, and those based on nonadditive integrals. The properties of each method, as well as their interpretation and analysis, are studied in depth, together with construction methods and practical identification methods. Special attention is given to the nature of scales on which values to be aggregated are defined (ordinal, interval, ratio, bipolar). It is an ideal introduction for graduate students and a unique resource for researchers.