Solution Approach to the Minimum Spanning Tree Problem in Tsukamoto Fuzzy and Fermantean Fuzzy Environments

Solving Fuzzy Minimum Spanning Tree (FFMST) and Fuzzy Tsukamoto using modified Prim Algorithm for Undirected Graphs and modified Optimal Branching Algorithm for Directed Graphs in FFN environment. Since the proposed Algorithm includes FFN ranking and Arithmetic Operations, we use the improved FFN sc...

Full description

Saved in:
Bibliographic Details
Main Authors: Desli de Haas, Citra Palembang, Aziz Rumakefing
Format: Article
Language:Indonesian
Published: Universitas Lancang Kuning 2024-11-01
Series:Digital Zone: Jurnal Teknologi Informasi dan Komunikasi
Subjects:
Online Access:https://journal.unilak.ac.id/index.php/dz/article/view/22826
Tags: Add Tag
No Tags, Be the first to tag this record!
_version_ 1846125905064230912
author Desli de Haas
Citra Palembang
Aziz Rumakefing
author_facet Desli de Haas
Citra Palembang
Aziz Rumakefing
author_sort Desli de Haas
collection DOAJ
description Solving Fuzzy Minimum Spanning Tree (FFMST) and Fuzzy Tsukamoto using modified Prim Algorithm for Undirected Graphs and modified Optimal Branching Algorithm for Directed Graphs in FFN environment. Since the proposed Algorithm includes FFN ranking and Arithmetic Operations, we use the improved FFN scoring function to compare the edge weights of the graphs. With the help of Numerical examples, the solution technique for the proposed FFMST model is explained. It aims to modify the Prims algorithm for oriktade graphing and the optimal result processing algorithm for re-graphing in Fuzzy Fermatean ( FFN )-miljö. They utilize the finite FFN function and the operation of fuzzy function operations to ensure victory in graphing. The fuzzy-inference process is based on the Tsukamoto method and also to get the best result from the existing catch. Numerical examples of presenters to perform the tasks of missing presenters. The results are seen in the effective Prim algorithm modifier lost Fuzzy Fermatean MST -problem for genome oriktade generator generated at minimum cost and fall with local banks. It is an optimal business growth modifier to optimize services for lenders, such as communication between financial consultants and commercial banks. This method will be effective and increase the desired parameters. Tsukamoto Fuzzy -This method includes a fuzzy-inference process to get the best answer in the minimum spanning tree problem. Kantvikter functions based on levels of capability and range functions. Theminimum spanning tree is achieved by the Prims algorithm, which may be performed with fuzzy values first.
format Article
id doaj-art-3b6b1e6f08bb493c8f18df1f0986b973
institution Kabale University
issn 2086-4884
2477-3255
language Indonesian
publishDate 2024-11-01
publisher Universitas Lancang Kuning
record_format Article
series Digital Zone: Jurnal Teknologi Informasi dan Komunikasi
spelling doaj-art-3b6b1e6f08bb493c8f18df1f0986b9732024-12-13T09:47:29ZindUniversitas Lancang KuningDigital Zone: Jurnal Teknologi Informasi dan Komunikasi2086-48842477-32552024-11-0115220822110.31849/digitalzone.v15i2.2282622826Solution Approach to the Minimum Spanning Tree Problem in Tsukamoto Fuzzy and Fermantean Fuzzy EnvironmentsDesli de Haas0Citra Palembang1Aziz Rumakefing2Universitas PattimuraUniversitas PattimuraUniversitas PattimuraSolving Fuzzy Minimum Spanning Tree (FFMST) and Fuzzy Tsukamoto using modified Prim Algorithm for Undirected Graphs and modified Optimal Branching Algorithm for Directed Graphs in FFN environment. Since the proposed Algorithm includes FFN ranking and Arithmetic Operations, we use the improved FFN scoring function to compare the edge weights of the graphs. With the help of Numerical examples, the solution technique for the proposed FFMST model is explained. It aims to modify the Prims algorithm for oriktade graphing and the optimal result processing algorithm for re-graphing in Fuzzy Fermatean ( FFN )-miljö. They utilize the finite FFN function and the operation of fuzzy function operations to ensure victory in graphing. The fuzzy-inference process is based on the Tsukamoto method and also to get the best result from the existing catch. Numerical examples of presenters to perform the tasks of missing presenters. The results are seen in the effective Prim algorithm modifier lost Fuzzy Fermatean MST -problem for genome oriktade generator generated at minimum cost and fall with local banks. It is an optimal business growth modifier to optimize services for lenders, such as communication between financial consultants and commercial banks. This method will be effective and increase the desired parameters. Tsukamoto Fuzzy -This method includes a fuzzy-inference process to get the best answer in the minimum spanning tree problem. Kantvikter functions based on levels of capability and range functions. Theminimum spanning tree is achieved by the Prims algorithm, which may be performed with fuzzy values first.https://journal.unilak.ac.id/index.php/dz/article/view/22826fuzzy;tsukamoto;fermatean;algorithm;graph;
spellingShingle Desli de Haas
Citra Palembang
Aziz Rumakefing
Solution Approach to the Minimum Spanning Tree Problem in Tsukamoto Fuzzy and Fermantean Fuzzy Environments
Digital Zone: Jurnal Teknologi Informasi dan Komunikasi
fuzzy;
tsukamoto;
fermatean;
algorithm;
graph;
title Solution Approach to the Minimum Spanning Tree Problem in Tsukamoto Fuzzy and Fermantean Fuzzy Environments
title_full Solution Approach to the Minimum Spanning Tree Problem in Tsukamoto Fuzzy and Fermantean Fuzzy Environments
title_fullStr Solution Approach to the Minimum Spanning Tree Problem in Tsukamoto Fuzzy and Fermantean Fuzzy Environments
title_full_unstemmed Solution Approach to the Minimum Spanning Tree Problem in Tsukamoto Fuzzy and Fermantean Fuzzy Environments
title_short Solution Approach to the Minimum Spanning Tree Problem in Tsukamoto Fuzzy and Fermantean Fuzzy Environments
title_sort solution approach to the minimum spanning tree problem in tsukamoto fuzzy and fermantean fuzzy environments
topic fuzzy;
tsukamoto;
fermatean;
algorithm;
graph;
url https://journal.unilak.ac.id/index.php/dz/article/view/22826
work_keys_str_mv AT deslidehaas solutionapproachtotheminimumspanningtreeproblemintsukamotofuzzyandfermanteanfuzzyenvironments
AT citrapalembang solutionapproachtotheminimumspanningtreeproblemintsukamotofuzzyandfermanteanfuzzyenvironments
AT azizrumakefing solutionapproachtotheminimumspanningtreeproblemintsukamotofuzzyandfermanteanfuzzyenvironments