{"title":"模糊调度系统中的模糊色数","authors":"Triyani Triyani, Niken Larasati","doi":"10.24198/jmi.v15.n2.22372.103","DOIUrl":null,"url":null,"abstract":"This article is aimed at finding fuzzy chromatic numbers of fuzzy graphs that can represent fuzzy scheduling systems. Fuzzy scheduling system is a scheduling model that considers the limitations of facilities and resources in scheduling, so that it has a flexible solution in determining the number of time intervals on scheduling. Vertex coloring on fuzzy graphs using α-cut can be used to solve fuzzy scheduling problems. The result of vertex coloring on fuzzy graphs using α-cut is fuzzy chromatic number. It is a set of ordered pairs of chromatic number of crips graph Gα and α, α ∈ [0, 1].","PeriodicalId":53096,"journal":{"name":"Jurnal Matematika Integratif","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2020-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Bilangan Kromatik Fuzzy dalam Sistem Penjadwalan Fuzzy\",\"authors\":\"Triyani Triyani, Niken Larasati\",\"doi\":\"10.24198/jmi.v15.n2.22372.103\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This article is aimed at finding fuzzy chromatic numbers of fuzzy graphs that can represent fuzzy scheduling systems. Fuzzy scheduling system is a scheduling model that considers the limitations of facilities and resources in scheduling, so that it has a flexible solution in determining the number of time intervals on scheduling. Vertex coloring on fuzzy graphs using α-cut can be used to solve fuzzy scheduling problems. The result of vertex coloring on fuzzy graphs using α-cut is fuzzy chromatic number. It is a set of ordered pairs of chromatic number of crips graph Gα and α, α ∈ [0, 1].\",\"PeriodicalId\":53096,\"journal\":{\"name\":\"Jurnal Matematika Integratif\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-02-11\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Jurnal Matematika Integratif\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.24198/jmi.v15.n2.22372.103\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Jurnal Matematika Integratif","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.24198/jmi.v15.n2.22372.103","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Bilangan Kromatik Fuzzy dalam Sistem Penjadwalan Fuzzy
This article is aimed at finding fuzzy chromatic numbers of fuzzy graphs that can represent fuzzy scheduling systems. Fuzzy scheduling system is a scheduling model that considers the limitations of facilities and resources in scheduling, so that it has a flexible solution in determining the number of time intervals on scheduling. Vertex coloring on fuzzy graphs using α-cut can be used to solve fuzzy scheduling problems. The result of vertex coloring on fuzzy graphs using α-cut is fuzzy chromatic number. It is a set of ordered pairs of chromatic number of crips graph Gα and α, α ∈ [0, 1].
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