D-S Evidence Theory and D-S Evidence Combination Rule with MATLAB Implementation

D-S evidence theory is a mathematical framework for reasoning under uncertainty, which involves evidence combination and evidence synthesis. The D-S evidence combination rule, also known as Dempster's rule, provides a method to merge confidence measures from different evidence sources into a global belief measure. These methods can be efficiently implemented and packaged as MATLAB functions for straightforward application. For instance, MATLAB functions can be developed to handle evidence combination and synthesis operations, enabling practical uncertainty reasoning. The implementation typically involves creating functions that process basic probability assignments (BPAs), calculate belief and plausibility measures, and apply Dempster's combination rule to merge evidence from multiple sources. The MATLAB implementation can be applied across various domains including signal processing, image analysis, and pattern recognition. Key functions might include evidence normalization, conflict management between evidence sources, and calculation of combined belief intervals. The packaged functions provide researchers and engineers with convenient tools to accelerate both research and practical applications involving uncertain reasoning.