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On Fuzzy Chromatic Number of Join of Fuzzy Graphs with an Application

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Isnaini Rosyida, Widodo, Ch Rini Indrati, Diari Indriati

2018 Proceeding - 2018 International Symposium on Advanced Intelligent Informatics: Revolutionize Intelligent Informatics Spectrum for Humanity, SAIN 2018 Conference paper Cited by 5 Quartile

Abstract

We study a fuzzy graph with a crisp vertex set and a fuzzy edge set. In this paper, an approach to determine fuzzy chromatic number of fuzzy graphs based on partitioning the vertex set into fuzzy independent vertex sets has been used. By using this method, we investigate a generalization of chromatic number of join crisp graphs into fuzzy chromatic number of join fuzzy graphs and prove an associated property. Further, an apllication of fuzzy chromatic number in a traffic light system is proposed. © 2018 IEEE.

Affiliations

Mathematics Department, Universitas Negeri Semarang, Semarang, Indonesia; Department of Mathematics, Universitas Gadjah Mada, Yogyakarta, Indonesia; Mathematics Department, Universitas Sebelas Maret, Surakarta, Indonesia

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