LAUSR

Hesitant interval-valued fuzzy set, which allows decision makers to use several interval numbers to assess a variable, is a useful tool to deal with situations in which people are hesitant in providing their interval-valued assessments. In this paper, we investigate the properties of hesitant interval-valued fuzzy aggregation operators and the approach for ranking a set of hesitant interval-valued fuzzy elements. Some flaws about the properties presented by Wei et al. (Knowl Based Syst 46:43–53, 2013) are pointed out and analyzed by counterexamples, and some modifications on the properties are given. Simultaneously, two flaws about the approach for ranking hesitant interval-valued fuzzy elements provided by Wei et al. (2013) are analyzed by counterexamples. A new algorithm for ranking a set of hesitant interval-valued fuzzy elements is provided. The rationality of the modified ranking approach is investigated.