Volume 15, Issue 2 (10-2020)
IJMSI 2020, 15(2): 117-128 |
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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-en.html
URL: http://ijmsi.ir/article-1-1145-en.html
Abstract:
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.
Keywords: Evidence theory, S-approximation spaces, Rough sets, Partial monotonicity, Qualities of approximation.
Type of Study: Research paper |
Subject:
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