{
  "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 $X$, ($[u]^α = \\{x \\in X: u(x) \\geq α\\}$).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.35883",
  "author_total": 1,
  "authors": [
    {
      "name": "Sokol Kaliaj"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/7txqm498yygnr.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.35883",
  "fulltext_url": null,
  "id": "7txqm498yygnr",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.35883",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.GM"
    ],
    [
      "openalex",
      "2613|Fuzzy Systems and Optimization"
    ]
  ],
  "openalex": "W7224095920",
  "pdf_url": "https://arxiv.org/pdf/2610.35883",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/7txqm498yygnr.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:53Z",
      "native_id": "2610.35883",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.35883"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "openalex:2613|Fuzzy Systems and Optimization",
      "subfield": "statistics"
    }
  ],
  "title": "A Radon-Nikodým theorem for Fuzzy Number Multimeasures in Locally Convex Spaces",
  "title_text": "A Radon-Nikodým theorem for Fuzzy Number Multimeasures in Locally Convex Spaces",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:53Z",
  "url": "https://research.draconitic.com/paper/7txqm498yygnr",
  "venue": "arXiv",
  "versions": []
}