Shapley and Interaction Indices
In game theory, the Shapley value or Shapley index is used to indicate the weight of a game. Shapley values can calculated for fuzzy measures in order to give some indication of the importance of each singleton. In the case of additive fuzzy measures, the Shapley value will be the same as each singleton.
For a given fuzzy measure g, and, the Shapley index for every is:
The Shapley value is the vector
Read more about this topic: Fuzzy Measure Theory
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“Those thoughts are truth which guide us to beneficial interaction with sensible particulars as they occur, whether they copy these in advance or not.”
—William James (1842–1910)