Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities

Jaikumar, R. V; Sundareswaran, Raman; Shanmugapriya, Marayanagaraj; Broumi, Said; Al-Hawary, Talal Ali

doi:10.22105/jfea.2024.428227.1336

Document Type : Research Paper

Authors

¹ Department of Mathematics, St. Joseph's Institute of Technology, OMR, Chennai, India.

² Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India.

³ Laboratory of Information Processing, Faculty of Science Ben M'Sik, University of Hassan II, Casablanca, Morocco.

⁴ Department of Mathematics, Science College, Yarmouk University, Irbid-Jordan.

https://doi.org/10.22105/jfea.2024.428227.1336

Abstract

The notion of Fuzzy Graphs (FGs) and Intuitionistic Fuzzy Graphs (IFGs) is generalized in the Picture Fuzzy Graph (PFG), which is a more common platform for expressing the degree of positive, negative, and neutral membership functions. Picture Fuzzy Soft Graphs (PFSGs) are powerful mathematical tools for modeling real-world vagueness. The concept of vulnerability parameters of PFSG is provided in this research work by introducing the novel cardinality, domination number, integrity, and Domination Integrity (ÐÏ) of PFSG. Furthermore, a decision-making method for the PFSG has been presented using ÐÏ to suggest an algorithm for determining the ideal location for establishing a city diagnosis center

Keywords

Main Subjects

Picture fuzzy sets and their variants

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Journal of Fuzzy Extension and Applications

Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities

References

References

Volume 5, Issue 1
March 2024
Pages 86-99

Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities

References

References

Volume 5, Issue 1March 2024Pages 86-99

Volume 5, Issue 1
March 2024
Pages 86-99