A note on belief structures and s-approximation spaces

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.

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Author
Shakiba, A.; Goharshady, AmirISTA ; Hooshmandasl, M.R.; Alambardar Meybodi, M.
Department
Abstract
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.
Publishing Year
Date Published
2020-10-01
Journal Title
Iranian Journal of Mathematical Sciences and Informatics
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.
Volume
15
Issue
2
Page
117-128
ISSN
eISSN
IST-REx-ID

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Shakiba A, Goharshady AK, Hooshmandasl MR, Alambardar Meybodi M. A note on belief structures and s-approximation spaces. Iranian Journal of Mathematical Sciences and Informatics. 2020;15(2):117-128. doi:10.29252/ijmsi.15.2.117
Shakiba, A., Goharshady, A. K., Hooshmandasl, M. R., & Alambardar Meybodi, M. (2020). A note on belief structures and s-approximation spaces. Iranian Journal of Mathematical Sciences and Informatics. Iranian Academic Center for Education, Culture and Research. https://doi.org/10.29252/ijmsi.15.2.117
Shakiba, A., Amir Kafshdar Goharshady, M.R. Hooshmandasl, and M. Alambardar Meybodi. “A Note on Belief Structures and S-Approximation Spaces.” Iranian Journal of Mathematical Sciences and Informatics. Iranian Academic Center for Education, Culture and Research, 2020. https://doi.org/10.29252/ijmsi.15.2.117.
A. Shakiba, A. K. Goharshady, M. R. Hooshmandasl, and M. Alambardar Meybodi, “A note on belief structures and s-approximation spaces,” Iranian Journal of Mathematical Sciences and Informatics, vol. 15, no. 2. Iranian Academic Center for Education, Culture and Research, pp. 117–128, 2020.
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.
Shakiba, A., et al. “A Note on Belief Structures and S-Approximation Spaces.” Iranian Journal of Mathematical Sciences and Informatics, vol. 15, no. 2, Iranian Academic Center for Education, Culture and Research, 2020, pp. 117–28, doi:10.29252/ijmsi.15.2.117.
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