2nd African International Conference on Industrial Engineering and Operations Management

The Caracteristics of Alpha Cut on Fuzzy Graphs and Its Application in Scheduling System

Triyani Triyani, S. N. Nurshiami, Niken Larasati & Abdul Talib Bon
Publisher: IEOM Society International
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Track: Optimization
Abstract

This article discusses the characteristics of  alpha-cut on fuzzy graph. Alpha-cut on fuzzy graph was introduced by Munoz (2005) for vertex coloring on fuzzy graph with crips vertices. It was continued by Arindam Dey, et all (2013) for the fuzzy set of vertices and edges. Alpha-cut on fuzzy graph is crips graphs Ga that are induced from fuzzy graph by removing all vertex and edges in fuzzy graphs that have a degree of membership less than ?, aÎ[0,1]. Therefore, the caracteristics of alpha-cut on  fuzzy graph  is related to the crips graph produced. Furthermorer alpha cut on fuzzy graph will produce many ways of scheduling.

Published in: 2nd African International Conference on Industrial Engineering and Operations Management, Harare, Zimbabwe

Publisher: IEOM Society International
Date of Conference: December 7-10, 2020

ISBN: 978-1-7923-6123-4
ISSN/E-ISSN: 2169-8767