Central tendency for symmetric random fuzzy numbers

作者：Sinova Beatriz^*; Rosa Casals Maria; Angeles Gil Maria

来源：Information Sciences, 2014, 278: 599-613.

DOI：10.1016/j.ins.2014.03.077

• Aumann-type mean of a random fuzzy number
• Fuzzy number
• L-1 medians of a random fuzzy number
• Random fuzzy number
• Symmetric fuzzy number
• Symmetric random fuzzy number

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.

• 出版日期2014-9-10