Cubic bipolar fuzzy aggregation operator with priority degree with multi-criteria decision-making

A cubic bipolar fuzzy number (CBFN) is extremely useful for conveying ambiguous data in real-world settings. The idea of a priority degree is used in an MCDM in which the parameters have a prioritization relationship. Aggregation operators (AOs) are created by assigning non-negative real numbers called priority degrees to tight priority levels. As a result, "cubic bipolar fuzzy prioritized averaging operator with priority degrees (CBFPDA)" and "cubic bipolar fuzzy prioritized geometric operator with priority degrees (CBFPGD)" are presented as prioritized operators with CBFNs. The proposed approaches results are compared to those of numerous other related studies. The existing method's properties are frequently compared to those of other current methods, emphasizing the superiority of the provided work over currently employed operators. In addition, the impact of priority degrees on information fusion and object ranking is investigated. The discussion of a third party reverse logistic provider (3PRLP) optimization problem's practical implementation is a secondary goal. A numerical example is used to examine the effectiveness, superiority, and logic of the recommended way to refer about 3PRLP. Following the procedure of choosing the best strategy and rating the viable alternatives, a comparison analysis is performed.