Multi-criteria group decision-making based on the interval-valued q-rung orthopair fuzzy SIR approach for green supply chain evaluation and selection

The interval-valued q-rung orthopair fuzzy sets (IVq-ROFSs), considered as a new useful decision tool, possess a great ability to handle uncertain or vague knowledge in practical decision-making (DM). This paper introduces a novel IVq-ROF superiority and inferiority (IVq-ROF-SIR) technique combining with sine-trigonometric operational laws (STOLs). The proposed SIR method utilizes two kinds of information, the superiority and the inferiority information, to obtain two types of flows, including the superiority and the inferiority flows. Then, these flows are utilized to rank the set of alternatives partially or completely. Using sine-trigonometric functions and the flexibility of IVq-ROFSs, novel STOLs have been created. Further, we conduct a case study of green supplier selection (GSS) to demonstrate the feasibility and applicability of the developed technique. The main contributions of this article are as follows: (1) The aggregation operators for interval-valued q-rung orthopair fuzzy numbers and their characteristics have been studied under sine-trigonometric functions. (2) The SIR approach has been developed under IVq-ROFSs. The proposed technique is explained through an Algorithm as well as a flowchart. (3) Then, a case study of GSS is considered to apply the developed technique. (4) The results obtained have been compared with the ranking obtained through various existing techniques, including IVq-ROF TOPSIS method.