Randomness and fuzziness: Combined better than unified

Abstract

Randomness and fuzziness are often referred to as different sources to cope with uncertainty. However, albeit different, they arise jointly in many real-life situations leading to some new concepts, approaches and methods which are being explored mainly along the last two decades. This paper aims to summarize some of the most remarkable divergences and meeting points between the two sources of uncertainty, and the interest of combining them from a statistical perspective.