From finite to countable additivity
From weak to strong types of -convergence by the Bocce criterion
Necessary and sufficient oscillation conditions are given for a weakly convergent sequence (resp. relatively weakly compact set) in the Bochner-Lebesgue space to be norm convergent (resp. relatively norm compact), thus extending the known results for . Similarly, necessary and sufficient oscillation conditions are given to pass from weak to limited (and also to Pettis-norm) convergence in . It is shown that tightness is a necessary and sufficient condition to pass from limited to strong convergence....
Frontière du fractal de Rauzy et système de numération complexe
Fubini theorems for bornological measures
Function spaces of generalised smoothness [Book]
Function spaces on the snowflake
We consider two types of Besov spaces on the closed snowflake, defined by traces and with the help of the homeomorphic map from the interval [0,3]. We compare these spaces and characterize them in terms of Daubechies wavelets.
Functorial properties of the lattice of functional semi-norms.
Fundamental theorem of Wiener calculus.
Funktionalanalytische Fassung des Satzes von Radon-Nikodym. I.
Funzioni e tracce
Funzioni -convesse
We study a class of functions which differ essentially from those which are the sum of a convex function and a regular one and which have interesting properties related to -convergence and to problems with non-convex constraints. In particular some results are given for the associated evolution equations.
Further development of Chebyshev type inequalities for Sugeno integrals and T-(S-)evaluators
In this paper further development of Chebyshev type inequalities for Sugeno integrals based on an aggregation function and a scale transformation is given. Consequences for T-(S-)evaluators are established.
Further results on integral representations
Fuzzy equality and convergences for -observables in -quantum spaces
We introduce a fuzzy equality for -observables on an -quantum space which enables us to characterize different kinds of convergences, and to represent them by pointwise functions on an appropriate measurable space.
Fuzzy orness measure and new orness axioms
We have modified the axiomatic system of orness measures, originally introduced by Kishor in 2014, keeping altogether four axioms. By proposing a fuzzy orness measure based on the inner product of lattice operations, we compare our orness measure with Yager's one which is based on the inner product of arithmetic operations. We prove that fuzzy orness measure satisfies the newly proposed four axioms and propose a method to determine OWA operator with given fuzzy orness degree.
Fuzzy random events and their corresponding conditional probability measures.
Fuzzy-valued integrals based on a constructive methodology
The procedures for constructing a fuzzy number and a fuzzy-valued function from a family of closed intervals and two families of real-valued functions, respectively, are proposed in this paper. The constructive methodology follows from the form of the well-known “Resolution Identity” (decomposition theorem) in fuzzy sets theory. The fuzzy-valued measure is also proposed by introducing the notion of convergence for a sequence of fuzzy numbers. Under this setting, we develop the fuzzy-valued integral...