A note on belief structures and S-approximation spaces
Artificial Intelligence
2021-11-04 v4 Logic
Abstract
We study relations between evidence theory and S-approximation spaces. Both theories have their roots in the analysis of Dempster'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 those sets are related by a partial monotone S-approximation space.
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Cite
@article{arxiv.1805.10672,
title = {A note on belief structures and S-approximation spaces},
author = {Ali Shakiba and Amir Kafshdar Goharshady and MohammadReza Hooshmandasl and Mohsen Alambardar Meybodi},
journal= {arXiv preprint arXiv:1805.10672},
year = {2021}
}
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12 pages