A brain tumor is considered one of the deadliest forms among all types of cancer due to its aggressive nature leading to patients' low survival rate. Detection and classification of brain tumors have a significant impact on treatment planning and patient survival. The significance and importance of this work lie in the formulation of several probabilistic features that represent higher-level probabilistic uncertainty. To create these features, the gain function of probabilistic Hanman transform is replaced with the gain functions of Shannon, Renyi, and Tsallis entropy functions thus paving a way to the corresponding hybrid transforms, Hanman-Shannon, Hanman-Renyi, and Hanman-Tsallis transforms. The new features are extracted from brain MR images to detect and classify tumor by developing the possibilistic Hanman-Shannon transform classifier. This uses the t-normed errors between the training and testing features. The proposed system when evaluated on the two Brain MRI datasets yields the highest accuracy of around 99%.