Uncertainty measure for Z-soft covering based rough graphs with application

Article type: Research Article

Authors: Pavithra, S. | Manimaran, A.^{; *}

Affiliations: Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore, India

Correspondence: [*] Corresponding author. A. Manimaran, Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632014, India. E-mail: marans2011@gmail.com.

Abstract: Soft graphs are an interesting way to represent specific information. In this paper, a new form of graphs called Z-soft covering based rough graphs using soft adhesion is defined. Some important properties are explored for the newly constructed graphs. The aim of this study is to investigate the uncertainty in Z-soft covering based rough graphs. Uncertainty measures such as information entropy, rough entropy and granularity measures related to Z-soft covering-based rough graphs are discussed. In addition, we develop a novel Multiple Attribute Group Decision-Making (MAGDM) model using Z-soft covering based rough graphs in medical diagnosis to identify the patients at high risk of chronic kidney disease using the collected data from the UCI Machine Learning Repository.

Keywords: Soft graphs, soft covering rough set, uncertainty measures, decision making

DOI: 10.3233/JIFS-223678

Journal: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 4, pp. 5789-5802, 2023