犹豫模糊语言的可能度排序方法

Possibility degree methods for ranking hesitant fuzzy linguistic sets

研究犹豫模糊语言集可能度排序方法.在给出犹豫模糊语言集排序可能度公理的基础上,给出3类犹豫模糊语言集可能度排序公式:第1类基于RL的5个等价犹豫模糊语言可能度排序公式;第2类基于WNS的5个等价犹豫模糊语言可能度排序公式;第3类基于概率可信度的犹豫模糊语言可能度比较公式.通过实例对3类公式进行对比分析,给出方法选择的建议,第3类方法可以区别差别较小的犹豫模糊语言数,第1类方法适于大规模计算中的应用.

Possibility degree methods for ranking hesitant fuzzy linguistic sets（HFLTSs） are studied. Three kinds of possibility degree formulas are proposed based on presenting possibility degree axiom. The five mutual equivalent formulas of the first kind are based on the idea of the interval comparison method. Another five mutual equivalent formulas are proposed based on the first kind of formulas, and the third kind of possibility degree formulas with respect to HFLTSs is proposed by probability criterion of uniform distribution. Finally, an example is given to explain the rationality and feasibility of the new formulas. The results show that the third kind of formula can deal with ranking problems resulting from slight difference of HFLTS, and the first kind of formula is simple to calculate and suitable for large-scale computation.