%0 Journal Article
%A Shakiba, A.
%A Kafshdar Goharshady, A.
%A Hooshmandasl, M. R.
%A Alambardar Meybodi, M.
%T A Note on Belief Structures and S-approximation Spaces
%J Iranian Journal of Mathematical Sciences and Informatics
%V 15
%N 2
%U http://ijmsi.ir/article-1-1145-en.html
%R
%D 2020
%K Evidence theory, S-approximation spaces, Rough sets, Partial monotonicity, Qualities of approximation.,
%X 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.
%> http://ijmsi.ir/article-1-1145-en.pdf
%P 117-128
%& 117
%!
%9 Research paper
%L A-10-2883-1
%+ Vali-e-Asr University of Rafsanjan
%G eng
%@ 1735-4463
%[ 2020