{"acknowledgement":"We are very grateful to the anonymous reviewer for detailed comments and suggestions that significantly improved the presentation of this paper. The research was partially supported by a DOC fellowship of the Austrian Academy of Sciences.","page":"117-128","file":[{"file_name":"2020_ijmsi_Shakiba_accepted.pdf","access_level":"open_access","creator":"dernst","checksum":"f299661a6d51cda6d255a76be696f48d","date_updated":"2020-10-19T11:14:20Z","relation":"main_file","file_id":"8676","success":1,"content_type":"application/pdf","file_size":261688,"date_created":"2020-10-19T11:14:20Z"}],"doi":"10.29252/ijmsi.15.2.117","issue":"2","_id":"8671","publication":"Iranian Journal of Mathematical Sciences and Informatics","date_updated":"2023-10-16T09:25:00Z","language":[{"iso":"eng"}],"oa":1,"day":"01","publisher":"Iranian Academic Center for Education, Culture and Research","volume":15,"year":"2020","external_id":{"arxiv":["1805.10672"]},"publication_status":"published","department":[{"_id":"KrCh"}],"citation":{"ama":"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>","short":"A. Shakiba, A.K. Goharshady, M.R. Hooshmandasl, M. Alambardar Meybodi, Iranian Journal of Mathematical Sciences and Informatics 15 (2020) 117–128.","ista":"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.","mla":"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>.","apa":"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>","ieee":"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.","chicago":"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>."},"intvolume":"        15","author":[{"last_name":"Shakiba","full_name":"Shakiba, A.","first_name":"A."},{"orcid":"0000-0003-1702-6584","id":"391365CE-F248-11E8-B48F-1D18A9856A87","first_name":"Amir Kafshdar","last_name":"Goharshady","full_name":"Goharshady, Amir Kafshdar"},{"last_name":"Hooshmandasl","full_name":"Hooshmandasl, M.R.","first_name":"M.R."},{"full_name":"Alambardar Meybodi, M.","last_name":"Alambardar Meybodi","first_name":"M."}],"project":[{"_id":"267066CE-B435-11E9-9278-68D0E5697425","name":"Quantitative Analysis of Probablistic Systems with a focus on Crypto-currencies"}],"abstract":[{"lang":"eng","text":"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. "}],"scopus_import":"1","quality_controlled":"1","date_published":"2020-10-01T00:00:00Z","file_date_updated":"2020-10-19T11:14:20Z","date_created":"2020-10-18T22:01:36Z","oa_version":"Submitted Version","article_type":"original","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","has_accepted_license":"1","article_processing_charge":"No","publication_identifier":{"issn":["1735-4463"],"eissn":["2008-9473"]},"type":"journal_article","month":"10","ddc":["000"],"status":"public","title":"A note on belief structures and s-approximation spaces"}