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

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

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Journal Paper

Paper Information

Journal: JOURNAL OF FUZZY EXTENSION AND APPLICATIONS Year:2024 | Volume:5 | Issue:1 Page(s): 86-99

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Title

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

Author(s)

Keywords

Picture fuzzy soft graphs

cardinality

dominating set

Integrity

domination integrity

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

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