دوره 15، شماره 2 - ( 7-1399 )
جلد 15 شماره 2 صفحات 128-117 |
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Shakiba A, Kafshdar Goharshady A, Hooshmandasl M R, Alambardar Meybodi M. A Note on Belief Structures and S-approximation Spaces. IJMSI 2020; 15 (2) :117-128
URL: http://ijmsi.ir/article-1-1145-fa.html
URL: http://ijmsi.ir/article-1-1145-fa.html
A Note on Belief Structures and S-approximation Spaces. مجله علوم ریاضی و انفورماتیک. 1399; 15 (2) :117-128
چکیده:
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.
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