Some algebraic aspects of semantic uncertainty and cognitive biases

Based on the concept of representing semantic uncertainty by a valuation map which assigns to certain semantic units valuations taken from an abstract valuation set, we provide formal proofs that certain reasonable properties of the operations decision and reinforcement are related to algebraic structures on the valuation set. On the other hand, we infer from psychological research that in human behaviour reasonable operations are distorted by cognitive biases. In a final section, we connect our results to applications and propose a method for modeling the influence of certain cognitive biases.