On Renewable Energy Source Selection Methodologies Utilizing Picture Fuzzy Hypersoft Information with Choice and Value Matrices

Document Type : Article

Authors

1 Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan, HP, INDIA

2 Department of Mathematics, Jaypee University of Information Technology, Waknaghat, Solan (HP), India

Abstract

In a decision-making problem, the uncertainty component of refusal and abstain along with the sub-parametrization features in the information are not catered by intuitionistic fuzzy/Pythagorean fuzzy sets. In the present communication, we first introduce the novel notion of picture fuzzy hypersoft matrix along with various important binary operations and properties. The inclusion of the novel notion of picture fuzzy hypersoft matrices allows the decision makers to define their preference in a more general sub-parameterized linguistic form for the evaluation of available alternatives. The proposition concentrates on presenting a robust decision-making framework for identifying the optimal and most suitable renewable energy source. In this regard, the revised definition of picture fuzzy hypersoft choice matrix/weighted choice matrix (PFHSCM/PFHSWCM), value matrix, and total score matrix have been presented. Further, two algorithms of decision-making for the selection of the best renewable energy sources have been provided along with appropriate illustrations and ranking descriptions. A numerical example has also been worked out for the sake of illustrating the proposed algorithms. Finally, for establishing the robustness of the MCDM algorithms, a necessary comparative analysis has been carried out successfully.

Keywords