A note on belief structures and s-approximation spaces - Shakiba, A.; Goharshady, Amir Kafshdar; Hooshmandasl, M.R.; Alambardar Meybodi, M.; Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies (Iranian Journal of Mathematical Sciences and Informatics, 2020)
We study relations between evidence theory and S-approximation spaces. Both theories have their roots in the analysis of Dempsterchr('39')s multivalued 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.
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