Ali Shakiba
Department of Computer Science, Vali-e-Asr University of Rafsanjan, Rafsanjan, Iran
[ 1 ] - S-APPROXIMATION SPACES: A FUZZY APPROACH
In this paper, we study the concept of S-approximation spaces in fuzzy set theory and investigate its properties. Along introducing three pairs of lower and upper approximation operators for fuzzy S-approximation spaces, their properties under different assumptions, e.g. monotonicity and weak complement compatibility are studied. By employing two thresholds for minimum acceptance accuracy and m...
[ 2 ] - A Note on Belief Structures and S-approximation Spaces
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...
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