The Weak Orders on Pyramid Fuzzy Number Space

In this paper, we study the problem of weak orders on pyramid fuzzy number space. Firstly, we introduce a kind of weak order on pyramid fuzzy number space, which not only depends on mean of pyramid fuzzy number, but also depends fuzzy degree of pyramid fuzzy number, so that it may better characterize the superior or inferior of imprecise or uncertain multi-channel digital signals. And then, we investigate its properties, and obtain its computing formula and operations rules of addition and scalar multiplication. At last, we give a practical example to show its application in comprehensive evaluation.