An adjustable weighted soft discernibility matrix based on generalized picture fuzzy soft set and its applications in decision making

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.

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