Applied Decision Analytics

Vol. 2 No. 1 (2026): Applied Decision Analytics
Articles

Decision Analytics Applications of the Relationship Between TreeSoft Graphs and ForestSoft Graphs

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  • Takaaki Fujita,
  • Ajoy Kanti Das,
  • Arif Mehmood,
  • Suman Das,
  • Volkan Duran
Takaaki Fujita
Independent Researcher, Tokyo, Japan
Ajoy Kanti Das
Department of Mathematics, Tripura University, Agartala-799022, Tripura, India
Arif Mehmood
Department of Mathematics, Institute of Numerical Sciences, Gomal University, Dera Ismail Khan 29050, KPK, Pakistan
Suman Das
Department of Education (ITEP), NIT Agartala, Jirania, 799046, Tripura, India
Volkan Duran
Department of Computer Engineering Igdır University, Turkey

Published 2026-01-13

Keywords

  • Soft Set,
  • Soft Graph,
  • Treesoft Set,
  • Forestsoft Set,
  • Treesoft Graph,
  • Forestsoft Graph
    • ...More
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Copyright (c) 2025 Takaaki Fujita, Ajoy Kanti Das, Arif Mehmood, Suman Das, Volkan Duran (Author)

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

Fujita, T., Das, A. K., Mehmood, A., Das, S., & Duran, V. (2026). Decision Analytics Applications of the Relationship Between TreeSoft Graphs and ForestSoft Graphs. Applied Decision Analytics , 2(1), 73-92. https://ada-journal.org/index.php/ada/article/view/11

Abstract

Various concepts for handling uncertainty, such as Fuzzy Sets, Neutrosophic Sets, Rough Sets, and Plithogenic Sets, are well-known in the literature. Among them, this paper focuses on the Soft Set framework. Soft sets provide a robust foundation for decision-making by mapping parameters to subsets of a universal set, effectively addressing uncertainty and vagueness. As a generalization of soft sets, the concept of Soft Graphs has been introduced. Additionally, TreeSoft Sets and their corresponding TreeSoft Graphs are known from recent studies. In this paper, we introduce a novel concept called the ForestSoft Graph, which is defined as the graphical counterpart of the ForestSoft Set.

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