Application of Fuzzy Numbers to Assessment of Human Skills

Abstract

Fuzzy numbers play an important role in fuzzy mathematics analogous to the role played by the ordinary numbers in crisp mathematics. A fuzzy number is a special form of a fuzzy set on the set of real numbers. In the paper at hands two of the simpler forms of them, the triangular and the trapezoidal fuzzy numbers are used together with the centre of gravity defuzzification technique to develop two methods for assessing human skills. Applications of them are presented to assessment of student skills and of
football player performance illustrating our results. The advantages and disadvantages of the two methods are also discussed leading to the analogous conclusions about their usefulness.