基于结构元理论的复Fuzzy数及运算

here have been many achievements in fuzzy structural-element theory about fuzzy numbers,fuzzy value functions and operations of fuzzy numbers.but,it is just on the low level in studu on double fuzzy numbers.Some studies are made about liner double fuzzy numbers and operations on the basis of fuzzy structural-element,and some results are arrived. Then, some definitions are given for the distance,larger and less relations, upper and lower bound and fore arithmetic operation between two double fuzzy numbers.At the same time, fore arithmetic operation of double fuzzy numbers is discussed.At last,the subordinate function expression of fore arithmetic operation of double fuzzy numbers is given and certificated.