Year: 2026
Type: preprint
Abstract: In this paper, we present a Radon-Nikodym theorem for dominated fuzzy number multimeasures defined on $Σ$ and taking values in $\mathcal{F}_{cwk}(X)$, where $(Ω, Σ, μ)$ is a complete finite measure space and $\mathcal{F}_{cwk}(X)$ is the family of generalized fuzzy numbers on a Hausdorff locally convex topological vector space $X$, i.e., a map $u: X \to [0,1]$ is a member of $\mathcal{F}_{cwk}(X)$, if and only if for each $α\in (0,1]$ the $α$-cut $[u]^α$ of $u$ is a member of the family $cwk(X)$ of all nonempty convex and weakly compact subsets of $X$, ($[u]^α = \{x \in X: u(x) \geq α\}$).
Source: arXiv (Cornell University)
Author: Sokol Bush Kaliaj
Language: English
Subfield: Statistics and Probability
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166833836