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All Journal Integra: Journal of Integrated Mathematics and Computer Science
Takaaki Fujita
Independent Researcher, Tokyo, Japan
Computer Science & IT Mathematics

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Note for Soft MultiExpert Graph and MultiSoft MultiExpert Graph Takaaki Fujita
Integra: Journal of Integrated Mathematics and Computer Science Vol. 3 No. 1 (2026): March
Publisher : Magister Program of Mathematics, Universitas Lampung

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.26554/integrajimcs.20263146

Abstract

This paper studies multilevel extensions of soft-set-based graph models for uncertainty aware decision support. We first recall soft, multisoft, soft expert, and multisoft multi expert sets, which encode parameterized and expert-dependent approximations of a universe. Building on these notions, we introduce the MultiSoft Graph, a family of induced subgraphs of a given graph indexed by multilevel parameter blocks, and show that it strictly generalizes classical soft graphs while inducing a canonical multisoft set on the vertex set. We then define Soft MultiExpert Graphs and MultiSoft MultiExpert Graphs, providing a unified framework that jointly handles graph topology, multiple parameters, and expert opinions.
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