{"title":"Plithogenic product intuitionistic fuzzy graph","authors":"T. Bharathi, Arul Priya Sampath","doi":"10.1007/s13370-025-01378-7","DOIUrl":null,"url":null,"abstract":"<div><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 <span>\\({\\mu }\\)</span> membership values and <span>\\({\\nu }\\)</span> 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></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 4","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2025-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01378-7","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
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.
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