Title of article :
A Note on Belief Structures and S-approximation Spaces
Author/Authors :
Shakiba, Ali Department of Computer Science - Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran , Kafshdar Goharshady, Amir IST Austria (Institute of Science and Technology Austria), Klosterneuburg, Austria , Hooshmandasl, Mohammad Reza Department of Computer Science - University of Mohaghegh Ardabili, Ardabil, Iran , Alambardar Meybodi, Mohsen Department of Applied Mathematics and Computer Science - University of Isfahan, Isfahan, Iran
Abstract :
We study relations between evidence theory and S-approximation spaces. Both theories have their roots in the analysis of Dempsterchr('39')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
Journal title :
Iranian Journal of Mathematical Sciences and Informatics (IJMSI)
