TY - JOUR
T1 - A Note on Belief Structures and S-approximation Spaces
TT -
JF - IJMSI
JO - IJMSI
VL - 15
IS - 2
UR - http://ijmsi.ir/article-1-1145-en.html
Y1 - 2020
SP - 117
EP - 128
KW - Evidence theory
KW - S-approximation spaces
KW - Rough sets
KW - Partial monotonicity
KW - Qualities of approximation.
N2 - 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.
M3
ER -