Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities
نویسندگان
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 Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, Chennai, India.
4 Laboratory of Information Processing, Faculty of Science Ben M'Sik, University of Hassan II, Casablanca, Morocco.
5 Department of Mathematics, Science College, Yarmouk University, Irbid-Jordan.
doi
10.22105/jfea.2024.428227.1336چکیده
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
