Decision-making under uncertainty - a quantum value operator approach

Decision-making under uncertainty is the unification of people's subjective beliefs and the objective world. Quantum value operator is proposed to simulate people's decision process. Quantum value operator guides people to choose corresponding actions based on their subjective beliefs through objective world. The quantum value operator can be constructed from basic quantum gates and logic operations as a quantum decision tree and the genetic programming is applied to optimize quantum decision trees. Quantum expected value is used as fitness function to evaluate the observed outcomes (gain or loss) in the process of decision-making under incomplete information. Basically based on Darwin's natural selection, a computational model that incorporating insights from quantum theory is proposed to describe and explain people's decision-making in the real world.