{"title":"正则直觉模糊图中的束缚集与非束缚集","authors":"R. Buvaneswari, K. Umamaheswari","doi":"10.7546/nifs.2023.29.3.318-324","DOIUrl":null,"url":null,"abstract":"The concept of strong edges in domination set and its properties are discussed. The increasing or reducing domination numbers using cardinality are also studied. Bondage $(\\alpha(G))$ and non-bondage $(\\alpha_K(G))$ sets are defined in regular intuitionistic fuzzy graph. The properties of bondage and non-bondage number of intuitionistic fuzzy graph analyzed. A minimum $2$-bondage set $X$ of an intuitionistic fuzzy graph (IFG) $G$ is a bondage set of regular intuitionistic fuzzy graph in $G$.","PeriodicalId":489404,"journal":{"name":"Notes on IFS","volume":"47 6","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Bondage and non-bondage sets in regular intuitionistic fuzzy graphs\",\"authors\":\"R. Buvaneswari, K. Umamaheswari\",\"doi\":\"10.7546/nifs.2023.29.3.318-324\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"The concept of strong edges in domination set and its properties are discussed. The increasing or reducing domination numbers using cardinality are also studied. Bondage $(\\\\alpha(G))$ and non-bondage $(\\\\alpha_K(G))$ sets are defined in regular intuitionistic fuzzy graph. The properties of bondage and non-bondage number of intuitionistic fuzzy graph analyzed. A minimum $2$-bondage set $X$ of an intuitionistic fuzzy graph (IFG) $G$ is a bondage set of regular intuitionistic fuzzy graph in $G$.\",\"PeriodicalId\":489404,\"journal\":{\"name\":\"Notes on IFS\",\"volume\":\"47 6\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-11-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Notes on IFS\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.7546/nifs.2023.29.3.318-324\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notes on IFS","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.7546/nifs.2023.29.3.318-324","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Bondage and non-bondage sets in regular intuitionistic fuzzy graphs
The concept of strong edges in domination set and its properties are discussed. The increasing or reducing domination numbers using cardinality are also studied. Bondage $(\alpha(G))$ and non-bondage $(\alpha_K(G))$ sets are defined in regular intuitionistic fuzzy graph. The properties of bondage and non-bondage number of intuitionistic fuzzy graph analyzed. A minimum $2$-bondage set $X$ of an intuitionistic fuzzy graph (IFG) $G$ is a bondage set of regular intuitionistic fuzzy graph in $G$.
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