Transformation theorems for fuzzy integrals on fuzzy sets
Fuzzy Sets and Systems
On fuzzy measure and fuzzy integral on fuzzy set
Fuzzy Sets and Systems
Fuzzy Measure Theory
Fuzzy Relational Systems: Foundations and Principles
Fuzzy Relational Systems: Foundations and Principles
A Jensen type inequality for fuzzy integrals
Information Sciences: an International Journal
A formal theory of intermediate quantifiers
Fuzzy Sets and Systems
Monadic L-fuzzy quantifiers of the type
Fuzzy Sets and Systems
Pseudo-Riemann-Stieltjes integral
Information Sciences: an International Journal
L-fuzzy quantifiers of type determined by fuzzy measures
Fuzzy Sets and Systems
A universal integral as common frame for choquet and Sugeno integral
IEEE Transactions on Fuzzy Systems
An inequality related to Minkowski type for Sugeno integrals
Information Sciences: an International Journal
Information Sciences: an International Journal
International Journal of Approximate Reasoning
On the probabilistic Hausdorff distance and a class of probabilistic decomposable measures
Information Sciences: an International Journal
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This paper presents basic notions about fuzzy measures over algebras of fuzzy subsets of a fuzzy set. It also presents basic ideas on fuzzy integrals defined using these fuzzy measures. Definitions of new types of fuzzy measures and integrals are motivated by our research on generalized quantifiers. Several useful properties of fuzzy measures and fuzzy integrals are stated and proved. Definitions presented in this paper and its results will be employed in subsequent papers on generalized quantifiers defined using this type of fuzzy integral.