Title of article :
Vulnerability parameters in picture fuzzy soft graphs and their applications to locate a diagnosis center in cities
Author/Authors :
Jaikumar ، R. V , Sundareswaran ، Raman Department of Mathematics - Sri Sivasubramaniya Nadar College of Engineering , Shanmugapriya ، Marayanagaraj Department of Mathematics - Sri Sivasubramaniya Nadar College of Engineering , Broumi ، Said Laboratory of Information Processing - Faculty of Science Ben M Sik - University of Hassan II , Al-Hawary ، Talal Ali Department of Mathematics - Science College - Yarmouk University
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 :
Picture fuzzy soft graphs , cardinality , dominating set , Integrity , domination integrity
Journal title :
Journal of Fuzzy Extension and Applications
Journal title :
Journal of Fuzzy Extension and Applications
