The concept of possibility based on human cognition

An axiomatic definition for possibility measure without “maxitivity” operator is proposed in this work. It has a psychology foundation of human cognition of possibility, is consistent with the conditional probability interpretation of possibility. Possibility measure defined this way obeys to a disjunctive operator of arithmetic mean and a conjunctive operator of product, which offers a different perspective on the understanding of possibility and should promote the cross prosperity of probability and possibility.