Iranian Journal of Mathematical Sciences and Informatics
مجله علوم ریاضی و انفورماتیک
IJMSI
Basic Sciences
http://ijmsi.ir
1
admin
1735-4463
2008-9473
8
10.61186/ijmsi
14
8888
13
en
jalali
1399
7
1
gregorian
2020
10
1
15
2
online
1
fulltext
en
A Note on Belief Structures and S-approximation Spaces
عمومى
General
پژوهشي
Research paper
We study relations between evidence theory and S-approximation spaces. Both theories have their roots in the analysis of Dempster'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.
Evidence theory, S-approximation spaces, Rough sets, Partial monotonicity, Qualities of approximation.
117
128
http://ijmsi.ir/browse.php?a_code=A-10-2883-1&slc_lang=en&sid=1
A.
Shakiba
ali.shakiba@vru.ac.ir
10031947532846007452
10031947532846007452
Yes
Vali-e-Asr University of Rafsanjan
A.
Kafshdar Goharshady
goharshady@ist.ac.at
10031947532846007453
10031947532846007453
No
Institute of Science and Technology Austria (IST Austria)
M. R.
Hooshmandasl
hooshmandasl@yazd.ac.ir
10031947532846007454
10031947532846007454
No
University of Mohaghegh Ardabili
M.
Alambardar Meybodi
m.alambardar@sci.ui.ac.ir
10031947532846007455
10031947532846007455
No
University of Isfahan