<p>Plithogenic product intuitionistic fuzzy graph is a novel graphical model for representing complex systems characterised by multi-valued dyadic attributes. It provides four or more dyadic attributes to its elements, consisting of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\({\mu }\)</EquationSource> </InlineEquation> membership values and <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\({\nu }\)</EquationSource> </InlineEquation> non-membership values. The dyadic attribute values of the edges are calculated using the (*) operator. In this paper, various properties and characterisations of Plithogenic product intuitionistic fuzzy graphs, including order, size, path, and cycle, are analysed to show the utility of the Plithogenic product intuitionistic fuzzy graphs. Additionally, weight, strength, the strength of connectedness, and subgraphs of Plithogenic product intuitionistic fuzzy graphs are newly introduced, accompanied by examples and figures, to examine the connectivity between parts and the significance of each part.</p>

错误:搜索内容不能为空,请输入英文关键词
错误:关键词超出字数限制,请精简
高级检索

Plithogenic product intuitionistic fuzzy graph

  • T. Bharathi,
  • Arul Priya Sampath

摘要

Plithogenic product intuitionistic fuzzy graph is a novel graphical model for representing complex systems characterised by multi-valued dyadic attributes. It provides four or more dyadic attributes to its elements, consisting of \({\mu }\) membership values and \({\nu }\) non-membership values. The dyadic attribute values of the edges are calculated using the (*) operator. In this paper, various properties and characterisations of Plithogenic product intuitionistic fuzzy graphs, including order, size, path, and cycle, are analysed to show the utility of the Plithogenic product intuitionistic fuzzy graphs. Additionally, weight, strength, the strength of connectedness, and subgraphs of Plithogenic product intuitionistic fuzzy graphs are newly introduced, accompanied by examples and figures, to examine the connectivity between parts and the significance of each part.