RT - Journal Article
T1 - A Note on Belief Structures and S-approximation Spaces
JF - IJMSI
YR - 2020
JO - IJMSI
VO - 15
IS - 2
UR - http://ijmsi.ir/article-1-1145-en.html
SP - 117
EP - 128
K1 - Evidence theory
K1 - S-approximation spaces
K1 - Rough sets
K1 - Partial monotonicity
K1 - Qualities of approximation.
AB - 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.
LA eng
UL http://ijmsi.ir/article-1-1145-en.html
M3
ER -