A New Approach to the Criteria-Weighted Fuzzy Soft Max-Min Decision-Making Method and Its Application to a Performance-Based Value Assignment Problem

Recently, the criteria-weighted fuzzy soft max-min decision-making (WFSMmDM) method provided in [Razak, S. A., Mohamad, D., A decision making method using fuzzy soft sets, Malaysian Journal of Fundamental and Applied Sciences, 2013, 9(2), 99-104] has been configured to operate in the fuzzy parameterized fuzzy soft matrices (fpfs-matrices) space by Enginoğlu and Memiş [A configuration of some soft decision-making algorithms via fpfs-matrices, Cumhuriyet Science Journal, 2018, 39(4), 871-881] faithfully to the original. Even though this configured method, which is denoted by RM13 and constructed by and-product/or-product (RM13a/RM13o), is useful in soft decision-making, it is of great importance to improve the method in terms of running time and complexity when processing a large number of data. In this study, to improve WFSMmDM, we propose two algorithms, denoted by EM20a and EM20o. Furthermore, we prove that EM20a is equivalent to RM13a. Thereafter, we compare the running time of these algorithms. The results show that EM20a and EM20o outperform RM13a and RM13o, respectively, in any number of data. We then apply EM20o to the problem of performance-based value assignment concerning seven filters used in image denoising. Besides, we compare the proposed two methods’ performance ranking with that of eight state-of-art soft decision-making methods. Finally, we provide the conclusive remarks and some suggestions for further research.