Simulation of Two- Asymmetric Pentagonal Fuzzy Numbers to Estimate the Survival Function for Modified Weibull Extension Distribution

Autor: Shaima'a B. Yass, D Iden H. Al Kanani
Rok vydání: 2022
Předmět:
DOI: 10.5281/zenodo.6566854
Popis: In this paper, the parameters of the Modified Weibull Extension Distribution are estimated using the maximum likelihood estimator method through the use of the Monte Carlo method in a simulation procedure by generating many different sample sizes, with many different replicates of the sample sizes, and following that finding the Survival function's estimate. Then fuzzify the estimation of the parameters for the same different sample sizes with the same different replicates of the sample sizes by the new proposed method of expanding the confidence interval of estimated parameters to nine fuzzy numbers, then transform all the fuzzy parameters to crisp parameters using the proposed Ranking functions with proposed Linear Two- Asymmetric Pentagonal Fuzzy Numbers and proposed Non Linear Two- Asymmetric Pentagonal Fuzzy Numbers. Accordingly, finding the Survival function and the outcome of Survival functions before and after fuzzy work will be compared using mean square error.
Databáze: OpenAIRE