A novel extended Portuguese of Interactive and Multi-Criteria Decision Making and Archimedean Bonferroni mean operators based on prospect theory to select green supplier with complex q-rung orthopair fuzzy information

The word sustainable or green supply chain refers to the concept of incorporating sustainable environmental procedures into the traditional supply chain. Green supply chain management gives a chance to revise procedures, materials and operational ideas. Choosing the fuzziness of assessing data and the spiritual situations of experts in the decision-making procedure are two important issues. The main contribution of this analysis is to derive the theory of Archimedean Bonferroni mean operator for complex q-rung orthopair fuzzy (CQROF) information, called the CQROF Archimedean Bonferroni mean and CQROF weighted Archimedean Bonferroni mean operators which are very valuable, dominant and classical type of aggregation operators used for examining the interrelationship among the finite number of attributes in modern data fusion theory. Inspirational and well-used properties of the initiated theories are also diagnosed with some special cases. Additionally, the theory of extended TODIM tool using the prospect theory based on CQROF information was discovered, which play an essential and critical role in the environment of fuzzy set theory. Finally, a real life problem by computing a green supply chain management based on the initiated CQROF operators was evaluated and fully illustrating the feasibility and efficiency of the diagnosed work with the help of a comparison between existing and prevailing theories.