Combining randomness and fuzziness

Abstract

Fuzzy random variable (frv) is one of the most successful mathematical tool for taking an intellectual step towards situations where randomness and fuzziness co-occur. This hybrid concept is discussed in this paper along with an outline of its key features. We also list some applications of fuzzy random variables in solving concrete problems and we provide a numerical example showing how randomness and fuzziness can be combined in an optimization setting. The paper ends with some concluding remarks emphasizing perspectives on potential research directions.

Keywords: random variable, fuzzy number, fuzzy random variable, optimization

African Journal of Science and Technology Vol. 5(2) 2004: 51-59