Publication Date



Technical Report: UTEP-CS-22-10


In the traditional fuzzy logic, an expert's degree of certainty in a statement is described by a single number from the interval [0,1]. However, there are situations when a single number is not sufficient: e.g., a situation when we know nothing and a situation in which we have a lot of arguments for a given statement and an equal number of arguments against it are both described by the same number 0.5. Several techniques have been proposed to distinguish between such situations. The most widely used is interval-valued technique, where we allow the expert to describe his/her degree of certainty by a subinterval of the interval [0,1]. Eliciting an interval-valued degree is straightforward. On the other hand, in many practical application, another technique has been useful: the technique complex-valued fuzzy degrees. For this technique, there is no direct way to elicit such degrees. In this paper, we explain a reasonable natural approach to such an elicitation.