Two families of fuzzy integrals
Fuzzy Sets and Systems
Fuzzy Sets and Systems - Special issue on mathematical aspects of fuzzy sets
Interactive determination of a utility function represented as a fuzzy integral
Information Sciences: an International Journal
Classification by fuzzy integral: performance and tests
Fuzzy Sets and Systems - Special issue on fuzzy methods for computer vision and pattern recognition
Advances in fuzzy integration for pattern recognition
Fuzzy Sets and Systems - Special issue on fuzzy methods for computer vision and pattern recognition
Fuzzy integral in multicriteria decision making
Fuzzy Sets and Systems - Special issue on fuzzy information processing
On Sugeno integral as an aggregation function
Fuzzy Sets and Systems
On a subjective evaluation model by a generalized fuzzy integral
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems - Special issue on fuzzy measures and integrals in subjective evaluation
Fuzzy Measure Theory
Aggregation operators: new trends and applications
Aggregation operators: new trends and applications
Aggregation operators: properties, classes and construction methods
Aggregation operators
Relations among univariate aging, bivariate aging and dependence for exchangeable lifetimes
Journal of Multivariate Analysis
Soft Computing - A Fusion of Foundations, Methodologies and Applications
International Journal of Intelligent Systems - Uncertainty Processing
An Introduction to Copulas (Springer Series in Statistics)
An Introduction to Copulas (Springer Series in Statistics)
International Journal of Approximate Reasoning
Fuzzy integrals - what are they?
International Journal of Intelligent Systems
Two integrals and some modified versions - Critical remarks
Fuzzy Sets and Systems
Short communication: Nonlinearity of the fuzzy integral
Fuzzy Sets and Systems
IEEE Transactions on Fuzzy Systems
Minimum Classification Error Training for Choquet Integrals With Applications to Landmine Detection
IEEE Transactions on Fuzzy Systems
The -Index and the Number of Citations: Two Fuzzy Integrals
IEEE Transactions on Fuzzy Systems
An Empirical Study of Statistical Properties of the Choquet and Sugeno Integrals
IEEE Transactions on Fuzzy Systems
Criteria satisfaction under measure based uncertainty
Fuzzy Optimization and Decision Making
Fuzzy measures and integrals defined on algebras of fuzzy subsets over complete residuated lattices
Information Sciences: an International Journal
General Chebyshev type inequalities for universal integral
Information Sciences: an International Journal
On the axiomatization of some classes of discrete universal integrals
Knowledge-Based Systems
Liapunov-type inequality for universal integral
International Journal of Intelligent Systems
A generalization of universal integrals by means of level dependent capacities
Knowledge-Based Systems
MDAI'12 Proceedings of the 9th international conference on Modeling Decisions for Artificial Intelligence
International Journal of Approximate Reasoning
Some properties and convergence theorems of set-valued Choquet integrals
Fuzzy Sets and Systems
Generalizations of the Chebyshev-type inequality for Choquet-like expectation
Information Sciences: an International Journal
Fuzzy Sets and Systems
International Journal of Approximate Reasoning
Useful tools for non-linear systems: Several non-linear integral inequalities
Knowledge-Based Systems
Aggregation operators for fuzzy ontologies
Applied Soft Computing
Atoms of weakly null-additive monotone measures and integrals
Information Sciences: an International Journal
Pseudo-Lp space and convergence
Fuzzy Sets and Systems
Information Sciences: an International Journal
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The Choquet and the Sugeno integral provide a useful tool in many problems in engineering and social choice where the aggregation of data is required. However, their applicability is restricted because of the special operations used in the construction of these integrals. Therefore, we provide a concept of integrals generalizing both the Choquet and the Sugeno case. For functions with values in the nonnegative real numbers, universal integrals are introduced and investigated, which can be defined on arbitrary measurable spaces and for arbitrary monotone measures. For a fixed pseudomultiplication on the nonnegative real numbers, the smallest and the greatest universal integrals are given. Finally, another construction method for obtaining universal integrals is introduced, and the restriction to the unit interval, i.e., to fuzzy integrals, is considered.