A note on belief structures and s-approximation spaces

Abstract

We study relations between evidence theory and S-approximation spaces. Both theories have their roots in the analysis of Dempster’s mul-tivalued mappings and lower and upper probabilities, and have close relations to rough sets. We show that an S-approximation space, satisfying a monotonicity condition, can induce a natural belief structure which is a fundamental block in evidence theory. We also demonstrate that one can induce a natural belief structure on one set, given a belief structure on another set, if the two sets are related by a partial monotone S-approximation space. © 2020 Academic Center for Education, Culture and Research TMU.