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<p>When analyzing the competitive dynamics within a system, the relationships among its objects can exhibit variability depending on different attributes or perspectives. Spherical fuzzy soft theory offers a valuable framework for parameterizing problems involving vague data, combining the properties of spherical fuzzy sets and soft sets. This paper introduces the novel concept of spherical fuzzy soft competition graphs and spherical fuzzy soft economic competition graphs, a comprehensive framework for modeling and analyzing complex competition dynamics in various domains. By amalgamating the principles of spherical fuzzy sets and soft computing, this approach effectively captures and quantifies uncertainty and vagueness intrinsic to real-world competitive interactions. This paper presents an extension of the graph model, incorporating spherical fuzzy soft <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="12190_2024_2286_Article_IEq1.gif" Format="GIF" Height="10" Rendition="HTML" Resolution="72" Type="Linedraw" Width="13" /> </InlineMediaObject> <EquationSource Format="TEX">\(\kappa \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>κ</mi> </math></EquationSource> </InlineEquation>-competition graphs, which sheds light on competition and economic competition-dependent systems. An application to the domain of illicit cross-border movements demonstrates the efficacy of this approach. It subsequently presents the algorithmic framework for constructing these competition graphs, enabling the assessment of truthness, abstinence, and falseness interactions among competing entities within a system. This paper also delves into comparative analyses, highlighting the unique advantages of spherical fuzzy soft competition graphs over existing models.</p>

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Spherical fuzzy soft competition graphs with application

  • 期刊论文

  • 发表日期：

    2025年1月22日

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  • Sundas Shahzadi,
  • Fariha Zafar,
  • Moeed Nawaz

摘要

When analyzing the competitive dynamics within a system, the relationships among its objects can exhibit variability depending on different attributes or perspectives. Spherical fuzzy soft theory offers a valuable framework for parameterizing problems involving vague data, combining the properties of spherical fuzzy sets and soft sets. This paper introduces the novel concept of spherical fuzzy soft competition graphs and spherical fuzzy soft economic competition graphs, a comprehensive framework for modeling and analyzing complex competition dynamics in various domains. By amalgamating the principles of spherical fuzzy sets and soft computing, this approach effectively captures and quantifies uncertainty and vagueness intrinsic to real-world competitive interactions. This paper presents an extension of the graph model, incorporating spherical fuzzy soft \(\kappa \) κ -competition graphs, which sheds light on competition and economic competition-dependent systems. An application to the domain of illicit cross-border movements demonstrates the efficacy of this approach. It subsequently presents the algorithmic framework for constructing these competition graphs, enabling the assessment of truthness, abstinence, and falseness interactions among competing entities within a system. This paper also delves into comparative analyses, highlighting the unique advantages of spherical fuzzy soft competition graphs over existing models.