F-INDEX FOR FUZZY GRAPH WITH APPLICATION

Different types of topological index of a graph have many applications and many results are available for crisp graphs. But in many practical applications it is seen that many situations cannot be modeled using crisp graphs. In these cases, to handle such a situation, those topological indices are n...

Full description

Saved in:
Bibliographic Details
Published inTWMS journal of applied and engineering mathematics Vol. 13; no. 2; p. 517
Main Authors Islam, Sk R, Pal, M
Format Journal Article
LanguageEnglish
Published Istanbul Turkic World Mathematical Society 01.04.2023
Elman Hasanoglu
Subjects
Algebraic topology
Applied mathematics
Chemistry
Decision making
Fuzzy algorithms
Fuzzy logic
Fuzzy sets
Fuzzy systems
Graph theory
Graphs
Mathematical research
Molecular chemistry
Topology
Vertex sets
India
Online AccessGet full text

Cover

More Information
Summary:Different types of topological index of a graph have many applications and many results are available for crisp graphs. But in many practical applications it is seen that many situations cannot be modeled using crisp graphs. In these cases, to handle such a situation, those topological indices are needed to define in a fuzzy graph. In this article, F-index for fuzzy graphs is introduced and some bounds on F-index are provided for several fuzzy graphs such as path, cycle, star, complete fuzzy graph, etc. In this article, the maximal fuzzy graph is calculated with respect to the F-index for a given vertex set. At the end of this article, a group of researchers are considered and a decision making method is provided by using F-index for fuzzy graph to find the most influenced researcher in that group. Keyword: Fuzzy graph, topological indices, Forgotten Topological Index, Forgotten Topological Index for fuzzy graph. AMS Subject Classification: 05C40, 05C62.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:2146-1147
2146-1147