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