Integra: Journal of Integrated Mathematics and Computer Science
Vol. 3 No. 1 (2026): March

Note for Soft MultiExpert Graph and MultiSoft MultiExpert Graph

Takaaki Fujita (Independent Researcher, Tokyo, Japan)



Article Info

Publish Date
18 Mar 2026

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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Journal Info

Abbrev

integra

Publisher

Subject

Computer Science & IT Mathematics

Description

Integra : Journal of Integrated Mathematics and Computer Science is the international journal in the field of Mathematics and Computer Science. Integra : Journal of Integrated Mathematics and Computer Science publish original research work both in a full article or in a short communication form, ...