General Fuzzy Graphs

Authors

  • Nishad T.M. Rajah Serfoji Govt College Affiliated to Bharathidasan Univeristy Tiruchirappally Tamilnadu India
  • B Mohamed Harif Rajah Serfoji Govt College, Thanjavur Affiliated to Bharathidasan Univeristy Tiruchirappally Tamilnadu India
  • Talal Ali Al-Hawary Yarmouk University image/svg+xml

DOI:

https://doi.org/10.23755/rm.v47i0.853

Keywords:

Fuzzy graphs, Strong fuzzy graphs, Weak fuzzy graphs, General fuzzy graphs, General weak fuzzy graphs.

Abstract

Fuzzy graphs have many applications in database theory,neural networks and decision making problems.Literature survey shows that in the exisiting definition of fuzzy graph the membership value on links is always less than or equal to the minimum of membership values on the corresponding nodes.This restriction brings a difficulty to address some practical problems where the membership value on links does not depend on that of corresponding nodes.So there exists a gap in literature of fuzzy graphs.In this article we have developed general fuzzy graph and general weak fuzzy graphs and have proved some properties of general weak fuzzy graphs.

Author Biographies

  • Nishad T.M., Rajah Serfoji Govt College Affiliated to Bharathidasan Univeristy Tiruchirappally Tamilnadu India

    Research Scholar

    Department of Mathematics

    Rajah Serfoji Govt College, Thanjavur

    Affiliated to Bharathidasan Univeristy
    Tiruchirappally
    Tamilnadu
    India

  • B Mohamed Harif, Rajah Serfoji Govt College, Thanjavur Affiliated to Bharathidasan Univeristy Tiruchirappally Tamilnadu India

    Research Supervisor,

    Department of Mathematics

    Rajah Serfoji Govt College, Thanjavur

    Affiliated to Bharathidasan Univeristy

    Tiruchirappally
    Tamilnadu
    India

  • Talal Ali Al-Hawary, Yarmouk University
    Professor,Yarmouk University,Jordan

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Published

2023-06-30

Issue

Vol. 47 (2023)

Section

Volume 47-2023

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