Note on the aggregation operators and ranking of hesitant interval-valued fuzzy elements

作者：Zeng, Wenyi^*; Li, Deqing^*; Gu, Yundong^*

来源：Soft Computing, 2019, 23(17): 8075-8083.

DOI：10.1007/s00500-018-3445-x

• Hesitant fuzzy sets
• Hesitant interval-valued fuzzy elements
• Prioritized aggregation operators
• Power aggregation operators
• Ranking function

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 etal. (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.

• 出版日期2019-9
• 单位华北电力大学（保定）; 北京师范大学; 华北电力大学