Einstein Weighted Geometric Operator for Pythagorean Fuzzy Hypersoft with Its Application in Material Selection

Hypersoft set theory is a most advanced form of soft and an innovative mathematical tool for dealing with unclear complications. Pythagorean fuzzy hypersoft (PFHSS) the influential capable leeway (HSS) (PFSS). It also general intuitionistic (IFHSS), which provides better more perfect assessment decision-making (DM) process. The fundamental objective this work to enrich precision decision-making. A novel mixed aggregation operator called Einstein weighted geometric (PFHSEWG) based on Einstein’s operational laws has been developed. Some necessary properties, such as idempotency, boundedness, homogeneity, have presented anticipated PFHSEWG operator. Multi-criteria (MCDM) plays active role in complications manufacturing design material selection. However, conventional methods MCDM usually produce inconsistent results. Based proposed operator, robust procedure selection planned address these inconveniences. expected method (MS) cryogenic storing vessels established real world. Significantly, model handling inaccurate data PFHSS operative consistent.