{"title":"图片模糊关联图与应用","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":"{\"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}","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}
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