The Ranking Function for fuzzy parameters of Rayleigh Distribution

Rehab Noori Shalan; Sundos Bader Habeeb; Rana A. Mohammed

Authors

Rehab Noori Shalan Department of mathematics, college of science, University of Baghdad, Baghdad, Iraq
Sundos Bader Habeeb Department of mathematics, college of science, University of Baghdad, Baghdad, Iraq
Rana A. Mohammed Department of mathematics, college of science, University of Baghdad, Baghdad, Iraq.

Keywords:

Fuzzy number, Density function, Survival function, Maximum Likelihood estimation

Abstract

This research deals with estimating the parameters for the generalized Rayleigh distribution depending on the maximum likelihood estimator method.Employing the real data to obtain the confidence intervals estimation for all parameters in generalized Rayleigh distribution. Fuzzy numbers will be construct from the trapezoidal membership function for this confidence interval of all parameters. Finally the ranking function algorithm using to convert the fuzzy numbers in to crisp (trapezoidal) fuzzy numbers and its applied to find the probability density function and survival function.