{"title":"Picture Fuzzy Incidence Graphs with Application","authors":"Irfan Nazeer, T. Rashid","doi":"10.52280/pujm.2021.530701","DOIUrl":null,"url":null,"abstract":"In this research article, we initiate the novel idea of picture\nfuzzy incidence graphs (PFIGs). We explain some innovative notions\ncomprising of picture fuzzy cut-vertices, picture fuzzy bridges, picture\nfuzzy incidence cutpairs, and picture fuzzy incidence cut-vertices. Some\nrudimentary theorems and essential results are also examined in the PFIGs.\nFurther, we determine the different concepts together with the order, size,\nand certain kinds of degrees in PFIG. A new type of PFIGs namely,\ncomplete picture fuzzy incidence graphs (CPFIGs) and complement of\n(PFIGs) are also furnished. A comparative analysis of PFIGs with fuzzy\nincidence graphs is also presented. Finally, an application of PFIGs in\nthe control of illegal transportation of people from India to America is\nprovided","PeriodicalId":205373,"journal":{"name":"Punjab University Journal of Mathematics","volume":"18 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-07-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Punjab University Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.52280/pujm.2021.530701","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 4
Abstract
In this research article, we initiate the novel idea of picture
fuzzy incidence graphs (PFIGs). We explain some innovative notions
comprising of picture fuzzy cut-vertices, picture fuzzy bridges, picture
fuzzy incidence cutpairs, and picture fuzzy incidence cut-vertices. Some
rudimentary theorems and essential results are also examined in the PFIGs.
Further, we determine the different concepts together with the order, size,
and certain kinds of degrees in PFIG. A new type of PFIGs namely,
complete picture fuzzy incidence graphs (CPFIGs) and complement of
(PFIGs) are also furnished. A comparative analysis of PFIGs with fuzzy
incidence graphs is also presented. Finally, an application of PFIGs in
the control of illegal transportation of people from India to America is
provided
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