In this paper, we consider decision making under uncertainty, when the probability of the states of nature is not known a priori and the outcomes of each alternative are characterized only approximately. In the literature, there are many criteria used for ranking alternatives in such cases as mentioned in this paper, but these criteria have many drawbacks. The fuzzy approach is very useful to handle such situations. Here we construct a new fuzzy optimistic criterion, namely the 2-Fuzzy Optimistic Criterion (2-FOC) using the fuzzy aspiration degree that has been defined. This criterion is a modification of the existing possibilistic optimistic criterion that has been widely used in such situations for ranking of alternatives. The criterion constructed is more realistic and it has been proved that when ranking of alternatives is not possible using the existing criterion, then it is possible to clearly rank the alternatives using the fuzzy criterion constructed. An example has also been given to illustrate the same.