Central tendency for symmetric random fuzzy numbers ?
Random fuzzy numbers are becoming a valuable tool to model and handle fuzzy-valued data generated through a random process. Recent studies have been devoted to introduce measures of the central tendency of random fuzzy numbers showing a more robust behaviour than the so-called Aumann-type mean value. This paper aims to deepen in the (rather comparative) analysis of these centrality measures and the Aumann-type mean by examining the situation of symmetric random fuzzy numbers. Similarities and differences with the real-valued case are pointed out and theoretical conclusions are accompanied with some illustrative examples.
symmetric random fuzzy number random fuzzy number fuzzy number aumann-type mean of a random fuzzy number l1 l 1 medians of a random fuzzy number l1 l 1 l1 l 1 l 1 symmetric fuzzy number