Credibilistic index of riskiness

This paper treats risk theory by means of credibility theory. The focus is on risk situations represented by discrete fuzzy variables. They can be useful to an agent in the decision-making process of credibilistic risk problems. An index of riskiness of Aumann-Serrano type for discrete credibilistic gambles is defined and the proofs are provided. The main result of the paper is credibilistic version of Hart theorem for credibilistic gambles.