CRITIC-EDAS Method for Linguistic Picture Fuzzy Soft Sets and Its Application in Decision Making Problem

Linguistic picture fuzzy soft sets (LPFSSs) provide a powerful tool for handling uncertainties in decision-making problems, particularly when multiple parameters are involved. By integrating the advantages of linguistic picture fuzzy sets (LPFSs) and soft sets (SSs), LPFSSs prove especially effective in situations involving imprecise and ambiguous information. This study extends the conventional CRITIC (Criteria Importance Through Inter-criteria Correlation) and EDAS (Evaluation based on Distance from Average Solution) methods to the LPFSS environment. First, the definitions of LPFSSs and linguistic picture fuzzy soft numbers (LPFSNs) are introduced along with their key properties. Subsequently, a CRITIC-EDAS framework is developed under the linguistic picture fuzzy soft setting. Finally, a numerical example concerning the selection of the most suitable organic fertilizer is presented to illustrate the effectiveness of the proposed approach.