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