The theory of prioritized Muirhead mean operators under the presence of Complex Single-Valued Neutrosophic values

The Muirhead mean (MM) operator is effective and feasible and is used for aggregating the finite collection of attributes into a singleton set, where the averaging and geometric aggregation operators are the special cases of the MM operator. Furthermore, the Complex Single-Valued Neutrosophic (CSVN) set theory is more reliable than the intuitionistic fuzzy set theory because it can easily handle awkward and unreliable information with the triplet, such as yes, abstinence, and no. In this manuscript, we present the theory of MM operators under the presence of CSVN values, such as the CSVN prioritized MM (CSVNPMM) operator and the CSVN prioritized dual MM (CSVNPDMM) operator. Some important and dominant properties are examined in the derived theory. Additionally, to verify the above information with the help of some appropriate examples, we demonstrate a Multi-Attribute Decision-Making (MADM) method for the proposed operators under the consideration of CSVN information. Finally, we compare the derived operators with some prevailing information to state the practicality and validity of the proposed method.