In the present paper, we introduced the four parameters generalized log-logistic distribution using quadrature rank transmutation map to develop a transmuted four parameters common log-logistic distributions. Also the function of reliability for the four generalized log-logistic distributions is obtained. The continuous case of pdf and cdf for four parameters common log-logistic distributions are traditional. We looked at 10 fit men and 10 old men at the base of cortisol levels when the mineralocorticoid receptor mostly regulates the activity of the HPA axis.. In case of ACTH and Cortisol, both values are were significantly higher in older men compared with young men after fludrocortisone. Lastly, we suggest that the implementation part fits with the probability distribution and the outcome is well linked with the medical report.. This paper will be very useful for medical field in future.