21 citations · 22 across the 5 of their papers we have counts for
6 papers
New definitions (measures) of skewness, mean and dispersion of fuzzy numbers -- by way of a new representation as parameterized curves
Jan Schneider
We give a geometrically motivated measure of skewness, define a mean value triangle number, and dispersion (in that order) of a fuzzy number without reference or seeking analogy to…
Levy processes in cones of fuzzy vectors
Jan Schneider, Roman Urban
The general problem of how to construct stochastic processes which are confined to stay in a predefined cone (in the one-dimensional but also multi-dimensional case also referred t…
Convergence of fuzzy random walks to a standard Brownian motion
Jan Schneider, Roman Urban
In this note - starting from -dimensional (with ) fuzzy vectors - we prove Donsker's classical invariance principle. We consider a fuzzy random walk ${S^*_n}=X^*_1+\cdots+X…
Quantized-CP Approximation and Sparse Tensor Interpolation of Function Generated Data
Boris N. Khoromskij, Kishore K. Naraparaju, Jan Schneider
In this article we consider the iterative schemes to compute the canonical (CP) approximation of quantized data generated by a function discretized on a large uniform grid in an in…
Equivalence of anchored and ANOVA spaces via interpolation
Aicke Hinrichs, Jan Schneider
We consider weighted anchored and ANOVA spaces of functions with first order mixed derivatives bounded in . Recently, Hefter, Ritter and Wasilkowski established conditions on…
Arithmetic of fuzzy numbers and intervals -- a new perspective with examples
Jan Schneider
This article is meant to give a lucid and widely accessible, self-contained account of a novel way of performing arithmetic operations on fuzzy intervals. Based on two formulae of…