四棱锥形模糊数

Four-pyramid Fuzzy Numbers

模糊数在模糊控制理论中具有重要的地位,因而成为研究的热门课题。该文定义了一种特殊的模糊数,即四棱锥形模糊数,探讨了它与两个分量都是三角形模糊数的二维模糊向量之间的关系,证明了他们之间可以相互唯一表示,这为将模糊数应用到工程领域中提供了方便。

Fuzzy number plays an important role in fuzzy control theory,and become the hot research topic.This paper defines a special fuzzy 2-cell number,four-pyramid fuzzy number,analyzes the relationship between it and a 2-dimensional fuzzy vector whose components are both triangular fuzzy numbers,and proves that they can represent each other uniquely.This provides a convenient for the use of fuzzy 2-cell numbers in the engineering field.