An MCGDM Technique for Weighted Average Interaction Aggregation Operator Under Interval-Valued Intuitionistic Fuzzy Hypersoft Set Environment

Abstract

The intuitionistic fuzzy hypersoft set (IFHSS)isthe most generalized form ofthe intuitionistic fuzzy soft set usedto resolve ambiguous and elusive data in the decision-making (DM) process, considering the parameters’multi-sub-attributes. Aggregation operators (AOs) execute a dynamic role in assessing the two prospect sequences and eliminating anxieties from this perception. This paper prolongs the IFHSS to interval-valued IFHSS (IVIFHSS), which proficiently contracts with hesitant and unclear data. It is the most potent technique for incorporating insecure data into DM. The core impartial of this investigation is to develop the algebraic operational laws for IVIFHSS. Furthermore, using the interaction operational law, an interaction AO for IVIFHSS has been presented, such as interval-valued intuitionistic fuzzy hypersoft interactive weighted average (IVIFHSIWA) with its essential properties. Multi-criteria group decision-making (MCGDM) technique is vigorous for material selection (MS). However, conventional methods of MCGDM regularly provide inconsistent results. Based on the expected AOs, industrial enterprises propose a robust MCGDM MS method to meet this shortfall. The real-world application of the planned MCGDM method for cryogenic storing vessel MS is presented. The implication is that the designed model is more efficient and consistent in handling information based on IVIFHSS.