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Ⅱ型模糊集合是传统Ⅰ型模糊集合的扩展,其本质是模糊集合中隶属度值的再次模糊化表示.Ⅱ型模糊集合可以直接处理模糊规则的不确定性,是解决现实环境高不确定性问题的有效手段.本文首先简要给出了Ⅱ型模糊集合与系统的基本概念,然后分别回顾了广义和区间Ⅱ型模糊理论的发展历史.接着分别讨论了广义和区间Ⅱ型模糊系统的计算复杂性问题研究进展,并进一步介绍了基于区间Ⅱ型模糊集合的词计算理论发展状况.最后给出了本文的结论和进一步研究问题的展望.
Type II fuzzy sets are the extension of the traditional type I fuzzy sets, whose essence is the re-fuzzy representation of the membership values in the fuzzy sets. Type II fuzzy sets can directly deal with the uncertainty of the fuzzy rules to solve the high uncertainty of the real environment The basic concepts of type Ⅱ fuzzy sets and systems are briefly introduced and then the history of the development of generalized and interval type Ⅱ fuzzy theories are reviewed respectively.The computational complexity of generalized and interval type Ⅱ fuzzy systems is discussed respectively The progress of research on sexual problems, and further introduces the development of word computing theory based on interval type Ⅱ fuzzy set.Finally, the conclusions of this paper and the prospect of further research problems are given.