Application of the Generalized Intuitionistic Fuzzy Rayleigh (GIFRD) Lifetime Distribution to Agricultural Data

Abstract

A number of writers have conducted research on reliability analysis, which is an important topic in engineering. Classical distributions rely on precise parameters to ensure their reliability. The parameters of distributions are typically believed to be accurate real values of number system. But in the actual world, it's not always possible to measure and record data precisely. Generalised intuitionistic fuzzy (GIF) reliability is included in the current study's expansion of the fuzzy reliability concept. Under the assumption that this lifespan parameter is a generalised intuitionistic fuzzy number, we investigate the dependability characteristic of systems using the Rayleigh lifetime distribution. The cut sets for all the survival functions of the generalised intuitionistic fuzzy hazard function and fuzzy mean time to failure are analysed when these systems obey the generalised intuitionistic fuzzy Rayleigh lifetime distribution (GIFRD). This method uses a band with upper and lower boundaries to depict the danger and dependability curves for each unique cut set. Additionally, reliability evaluations of parallel and series systems are carried out. The current work investigated the PDF, CDF, Hazard Rate Function, and Survival Function of the GIFRD using intuitionistic fuzzy values for real-time data. Kerala's agricultural production in 2018 was the main topic of this study. Therefore, the comparison showed that it is possible to estimate fuzziness values more precisely than real-time data.