article published yes A. Shakiba author Amir Kafshdar Goharshady author 391365CE-F248-11E8-B48F-1D18A9856A870000-0003-1702-6584 M.R. Hooshmandasl author M. Alambardar Meybodi author KrCh department Quantitative Analysis of Probabilistic Systems with a focus on Crypto-Currencies project 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. https://research-explorer.ista.ac.at/download/8671/8676/2020_ijmsi_Shakiba_accepted.pdf application/pdfno Iranian Academic Center for Education, Culture and Research2020 eng 1735-4463 2008-9473 1805.1067210.29252/ijmsi.15.2.117 152117-128 A. Shakiba, A.K. Goharshady, M.R. Hooshmandasl, M. Alambardar Meybodi, Iranian Journal of Mathematical Sciences and Informatics 15 (2020) 117–128. Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. A note on belief structures and s-approximation spaces. <i>Iranian Journal of Mathematical Sciences and Informatics</i>. 2020;15(2):117-128. doi:<a href="https://doi.org/10.29252/ijmsi.15.2.117">10.29252/ijmsi.15.2.117</a> Shakiba, A., Amir Kafshdar Goharshady, M.R. Hooshmandasl, and M. Alambardar Meybodi. “A Note on Belief Structures and S-Approximation Spaces.” <i>Iranian Journal of Mathematical Sciences and Informatics</i>. Iranian Academic Center for Education, Culture and Research, 2020. <a href="https://doi.org/10.29252/ijmsi.15.2.117">https://doi.org/10.29252/ijmsi.15.2.117</a>. A. Shakiba, A. K. Goharshady, M. R. Hooshmandasl, and M. Alambardar Meybodi, “A note on belief structures and s-approximation spaces,” <i>Iranian Journal of Mathematical Sciences and Informatics</i>, vol. 15, no. 2. Iranian Academic Center for Education, Culture and Research, pp. 117–128, 2020. Shakiba, A., Goharshady, A. K., Hooshmandasl, M. R., &#38; Alambardar Meybodi, M. (2020). A note on belief structures and s-approximation spaces. <i>Iranian Journal of Mathematical Sciences and Informatics</i>. Iranian Academic Center for Education, Culture and Research. <a href="https://doi.org/10.29252/ijmsi.15.2.117">https://doi.org/10.29252/ijmsi.15.2.117</a> Shakiba, A., et al. “A Note on Belief Structures and S-Approximation Spaces.” <i>Iranian Journal of Mathematical Sciences and Informatics</i>, vol. 15, no. 2, Iranian Academic Center for Education, Culture and Research, 2020, pp. 117–28, doi:<a href="https://doi.org/10.29252/ijmsi.15.2.117">10.29252/ijmsi.15.2.117</a>. Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. 2020. A note on belief structures and s-approximation spaces. Iranian Journal of Mathematical Sciences and Informatics. 15(2), 117–128. 86712020-10-18T22:01:36Z2025-04-15T07:55:04Z