matlab D–S evidence theory
时间: 2024-05-25 09:16:14 浏览: 11
D-S (Dempster-Shafer) evidence theory is a mathematical framework for reasoning under uncertainty. It allows one to combine and update uncertain pieces of evidence (also called belief functions) to arrive at a final belief, which can be expressed as a probability distribution over the possible outcomes.
In MATLAB, the D-S evidence theory can be implemented using the built-in functions in the 'Fuzzy Logic Toolbox'. This toolbox provides several functions for performing operations on belief functions, such as combination, update, and normalization.
To use the D-S evidence theory in MATLAB, one first needs to define the basic elements of the evidence, such as the set of possible outcomes and the basic belief assignments (BBAs) for each outcome. The BBA represents the degree of belief in each outcome based on the available evidence.
Once the BBAs are defined, one can use the 'DST_combine' function to combine them and obtain a new belief function that represents the overall belief in each outcome. The 'DST_update' function can be used to update the belief function with new evidence, and the 'DST_normalize' function can be used to normalize the resulting belief function.
Overall, the D-S evidence theory provides a powerful and flexible framework for reasoning under uncertainty, and MATLAB provides a convenient and efficient way to implement it.
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