Expected payoff of trading strategies involving european options for fuzzy financial market

Uncertainty inherent in the financial market was usually consid-ered to be random. However, randomness is only one special type of uncer-tainty and appropriate when describing objective information. For describing subjective information it is preferred to assume that uncertainty is fuzzy. This paper defines the expected payoff trading strategies in a fuzzy financial market within the framework of credibility theory. In addition, a computable integral form is obtained for expected payoff each strategy.