Abstract

In the present paper, the researchers discuss the problem of parametric interval approximation of fuzzy numbers. It is the interval which fulfills two conditions. In the first, this interval is a continuous interval approximation operator. In the second, the parametric weighted distance between this interval and the approximated number is minimal and continuous. This interval can be used as a crisp set approximation with respect to a fuzzy quantity. These indices can be applied for comparison of fuzzy numbers namely fuzzy correlations in fuzzy environments and expert's systems. Finally, some of their applications are mentioned.

Key words: Fuzzy numbers, defuzzification, interval approximation, correlation.