A Note On Orthogonal Expansions In Multidimensional Case
The Additive Exhaustive Functions On M-Lattice
Nikodým convergence theorem for uniform space valued functions defined on -posets
Countable extension of triangular norms and their applications to the fixed point theory in probabilistic metric spaces
The Choquet integral as Lebesgue integral and related inequalities
The integral inequalities known for the Lebesgue integral are discussed in the framework of the Choquet integral. While the Jensen inequality was known to be valid for the Choquet integral without any additional constraints, this is not more true for the Cauchy, Minkowski, Hölder and other inequalities. For a fixed monotone measure, constraints on the involved functions sufficient to guarantee the validity of the discussed inequalities are given. Moreover, the comonotonicity of the considered functions...
The adjoint theorem on A-spaces.
The Lebesgue decomposition theorem for generalized measures.
The Jordan decomposition of the null-additive signed fuzzy measures.
Extension of null-additive set functions on algebra of subsets.
Daniell-Greco-Stone representation type theorem for autocontinuous from above functionals.
Applications of decomposable measures on nonlinear difference equations.
On the generalized Dirichlet series of several complex variables
On some geometric transformation of t-norms.
Given a triangular norm T, its t-reverse T*, introduced by C. Kimberling (Publ. Math. Debrecen 20, 21-39, 1973) under the name invert, is studied. The question under which conditions we have T** = T is completely solved. The t-reverses of ordinal sums of t-norms are investigated and a complete description of continuous, self-reverse t-norms is given, leading to a new characterization of the continuous t-norms T such that the function G(x,y) = x + y - T(x,y) is a t-conorm, a problem originally studied...
Invariant copulas
Generated triangular norms
An overview of generated triangular norms and their applications is presented. Several properties of generated -norms are investigated by means of the corresponding generators, including convergence properties. Some applications are given. An exhaustive list of relevant references is included.
Transformations of copulas
Transformations of copulas by means of increasing bijections on the unit interval and attractors of copulas are discussed. The invariance of copulas under such transformations as well as the relationship to maximum attractors and Archimax copulas is investigated.
Decision Theory Based on Non-Additive Measures
Pseudo-Delta Functions and Sequences in the Optimization Theory
The locally convex -spaces and their dual spaces.
Matrix method approach to Cafiero theorem.
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