Hamacher Prioritized Aggregation Operators Based on Complex Picture Fuzzy Sets and Their Applications in Decision-Making Problems

Abstract

Multi-attribute decision-making (MADM) technique is a dominant procedure for evaluating the best alternative between the collection of finite alternatives. Hamacher prioritized aggregation operators are very useful for aggregating the collection of information into a singleton set. Additionally, a complex picture fuzzy (CPF) set is very capable and reliable for depicting awkward and unreliable information in genuine life problems. In this manuscript, we present the CPF Hamacher prioritized averaging (CIFHPA) operator, CPF Hamacher prioritized ordered averaging (CIFHPOA) operator, CPF Hamacher prioritized geometric (CIFHPG) operator, and CPF Hamacher prioritized ordered geometric (CIFHPOG) operator. Furthermore, some remarkable properties of these operators are also examined. Moreover, we contribute to the improvement of the MADM procedure with a new plan of an algorithm in the CPF environment. Furthermore, we select and solve a MADM problem that evaluates the best optimal between the collection of decisions based on derived operators. Finally, we check the reliability and effectiveness of these operators with the help of a comparative analysis between proposed techniques and some prevailing operators.