{"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":" ","pages":""},"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}
引用次数: 1
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].