Topological structures on cubic bipolar fuzzy sets with linear assignment model and SIR method for healthcare

Article type: Research Article

Authors: Riaz, Muhammad | Jamil, Nimra^{; *}

Affiliations: Department of Mathematics, University of the Punjab, Lahore, Pakistan

Correspondence: [*] Corresponding author. Nimra Jamil, Department of Mathematics, University of the Punjab, Lahore, Pakistan. E-mail: nimrajamilphd@gmail.com.

Abstract: The idea of a cubic bipolar fuzzy set (CBFS) is a new hybrid extension of the cubic set (CS) and the bipolar fuzzy set (BFS). A CBFS is a strong model to deal with bipolarity and fuzziness in terms of positive membership grades (PMGs) and negative membership grades (NMGs). A positive interval and a positive numbers represent a PMG to express the degree of belongingness of a specific property, and a negative interval and a negative number represent a NMG which defines the degree of non-belongingness of the specific property (or satisfaction level of its counter property). The aim of this paper is to define the cubic bipolar fuzzy topology under P-order (CBFSP topology) as well as the cubic bipolar fuzzy topology under R-order (CBFSR topology). We investigate certain properties and results of CBFSP topology and CBFSR topology. Topological structures on CBFSs are helping in the development of new artificial intelligence (AI) techniques for healthcare domain strategies and investigating various critical diseases. Such techniques allow for the early detection and investigation of diseases, assisting clinicians in minimizing the possible risk factors. An extended linear assignment model (LAM) and superiority and inferiority ranking method (SIR method) are proposed for healthcare diagnosis based on newly developed structures. The proposed LAM and SIR method are successfully applied for investigation of critical diseases. Moreover, we discuss a comparison analysis of investigations made by suggested techniques with some existing approaches.

Keywords: Cubic bipolar fuzzy set, cubic bipolar fuzzy topology, computational intelligence, linear assignment model, SIR method, healthcare

DOI: 10.3233/JIFS-222224

Journal: Journal of Intelligent & Fuzzy Systems, vol. 44, no. 1, pp. 1191-1212, 2023