一类二维模糊群

Unlike the traditional two-dimensional fuzzy set, the paper discussed the two-dimensional fuzzy set is based on the definition of the fuzzy point, at the same time, according to method of circular fuzzy structured element we study detailedly a special type of two-dimensional fuzzy number (circular fuzzy numbers and elliptical fuzzy number). In order to study the two-dimensional fuzzy number of the nature of algebra, this paper first defines a kind of algebraic operation, and studies a class of two-dimensional fuzzy number’s algebraic system that is formed by the circular fuzzy structured element, we prove that algebraic system is a group and give its properties.