Abstract: The notion of uncertain multi-value intuitive fuzzy set based on fuzzy environment is given, and the definition of intersection, union, inclusion are extended to such sets. The eight new formulae of similarity degree are presented after the similarity between sets is described. Finally, a practical example of pattern recognition is illustrated to show the availability and validity of the developed formulae.

Key words: multi-value intuitionistic fuzzy set, interval, triangular fuzzy number, similarity degree

摘要： 基于模糊环境给出多值不确定型直觉模糊集的概念,定义了集合的交、并、包含等基本运算性质。通过刻画集合间的相似程度,提出八个新的相似度公式。最后将相似度应用于识别决策,说明公式的实用性和有效性。

关键词: 多值直觉模糊集, 区间, 三角模糊数, 相似度