Types of probabilities associated with rough membership functions

The intent of this research is to critically analyze probabilistic rough sets (PSTs) and methods and propose new approaches. Towards this objective connections between meta theoretical approaches to probability and rough membership functions are reviewed and variants are proposed in this research. The contamination problem has been proposed and studied by the present author across a number of papers. The scope of the problem within PSTs is also explained in some depth by her. A new definition of artificial intelligence applicable in rough perspectives is also proposed on the basis of recent advances in algebraic semantics related to rough membership functions. All this is intended to eventually bridge the gap between theory and practice in these fields.