Year: 2026
Type: preprint
Abstract: Let $F\colon A\to\mathcal{P}(X)$ be a soft linear subspace of a linear space $X$ over $\mathbb{K}$. Its soft elements form the product $\prod_{t\in A}F(t)$. We use this representation to characterize selection spaces, decompose soft norms and soft linear operators into their sectionwise parts, and compare soft, uniform, and componentwise convergence. We also characterize completeness and continuity in the box, extended-supremum, and product settings. Neumann-series and fixed-point results are obtained as applications.
Source: arXiv (Cornell University)
Author: Subhasis Ray
Language: English
Topic: Fuzzy and Soft Set Theory
Field: Decision Sciences
Domain: Social Sciences
Open Access status: green
OpenAlex ID: W7224129781