Biomedical signs or bio signals are a wide range of signals obtained from the human body that can be at the cell, organ, or sub-atomic level. Electromyogram refers to electrical activity from muscle sound signals, electroencephalogram refers to electrical activity from the encephalon, electrocardiogram refers to electrical activity from the heart, electroretinogram refers to electrical activity from the eye, and so on. Monitoring and observing changes in these signals assist physicians whose work is related to this branch of medicine in covering, predicting, and curing various diseases. It can also assist physicians in examining, prognosticating, and curing numerous conditions. However, these signals are frequently affected by the accumulation of many different types of noise; it is critical to remove this noise from the signals in order to obtain useful information; the noise removal process is accomplished by proposing a new flexible score functions family for blind source separation, based on the exponentiated transmuted Weibull densities family.