Article History Keywords Hilbert space Quantum decision theory Risk, uncertainty Prefrontal cortex Emotions. In this paper we present several questions: can we use quantum theory in financial decision making? Is there a way that quantum theory influences financial decisionmaking in terms of risk and uncertainty? What are the relations of quantum theory of decision-making and the role of prefrontal cortex and emotion in the conditions of risk and uncertainty? Perhaps there are already answers to

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... these questions, perhaps they are already answered or need further research and development in the participation of financial decision-making in the conditions of risk and uncertainty in quantum theory of decision-making. Expanding on the role of prefrontal cortex and emotion work seeks to provide a consistent and integrated view of the complexity of financial decision-making in the conditions of risk and uncertainty. This study combines various scientific disciplines, concepts and mathematical (classical financial mathematics-based on the theory of stochastic processes) of the financial decision-making structure in terms of risk and uncertainty. One of the key factors in making financial decisions that lead to quantum dynamics is risk, uncertainty and emotion. The quantum decision theory were developed based on the mathematical techniques of complex Hilbert spaces through composite perspective lattices. Quantum decisional theory analyzes the decision-making process and types of dynamic inconsistency, quantum approaches to decision-making in the conditions of risk and uncertainty, taking Allais paradox and reinterpretation not on the subject's side but on the side of the observer (Allais paradox concerning the quantum measurement problem and the effect of the observer). Relationships between financial decision-making in risk and uncertainty and prefrontal cortex (frontal, cingulate parietal cortex, and striatum and emotion) show the motives of rational / irrational financial decision-making. Financial decision-making explains theoretical foundations (from the aspect of traditional economy) while neuroscience considers physiological aspects and somatic variables that influence financial decision-making.