Affiliations: [a] Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), Thailand
| [b] Center of Excellence in Theoretical and Computational Science (TaCS-CoE), SCL 802 Fixed Point Laboratory, Science Laboratory Building, King Mongkut’s University of Technology Thonburi (KMUTT), Thailand
| [c] Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan
| [d]
Shandong University of Finance and Economics, Jinan, China
| [e] Department of Mathematics and Computer Science, Program in Applied Statistics, Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi (RMUTT), Thanyaburi, Pathumthani, Thailand
Abstract: The basic idea underneath the generalized picture fuzzy soft set is very constructive in decision-making, since it considers, how to exploit an extra picture fuzzy input from the director to make up for any distortion in the information provided by the evaluation experts, which is defined by Khan et al. In this paper, we introduce a method to solve decision-making problems using adjustable weighted soft discernibility matrix in a generalized picture fuzzy soft set. We define the threshold functions like mid threshold, top-bottom-bottom threshold, bottom-bottom-bottom threshold, top-top-top threshold, med threshold functions and their level soft sets for generalized picture fuzzy soft sets. After, we propose two algorithms based on threshold functions, weighted soft discernibility matrix, and generalized picture fuzzy soft set. To show the supremacy of the given method we illustrate a descriptive example using weighted soft discernibility matrix in the generalized picture fuzzy soft set. Results indicate that the proposed method is more effective and generalized overall existing methods of the fuzzy soft set.
