中文摘要：

在综合分析模糊数的限定运算和广义限定运算的基础上,通过扩展模糊数结构元的表示方法,将模糊数结构元理论中的变换函数的单调性推广到连续性（至多在x=0处有一个间断点）,提出了模糊数的广义运算,试图解决模糊数运算出现的多种问题。

英文摘要：

On the basis of comprehensive analysis of constraints operators and generalized constraints operators of fuzzy numbers,generalized operators is put forward by extending the expression of fuzzy numbers based on structured element to solve all kinds of problems in fuzzy arithmetic.The monotonic of transform function is converted to the continuity（at most one point of discontinuity at x=0）in the structured element theory of fuzzy numbers.