模糊极限的一种新定义

在模糊分析中模糊极限的定义都是基于扩张原理的形式给出的,并且都是对元素遍历某个条件或取λ遍历0,1]所对应的全体结果进行运算,这种运算中的遍历过程给模糊极限的定义形式及其应用带来了极大的不便。利用模糊结构元方法给出了模糊极限的一种新的定义,这种形式摒弃了对元素遍历的繁琐运算,使得该定义运用起来更加灵活简便,而且也体现了模糊结构元方法在简化模糊分析计算方面的优越性。最后给出了 3 个结论,即极限的加减法与数乘定理、极限唯一性定理、有界性定理,

A new definition of fuzzy limit

The definition of fuzzy limit are provided with the form based on the extension principle. Will give a new kind of definition of the fuzzy limit by using the methods of fuzzy structuring element .This new kind of definition avoids the complex calculations, so the definition of fuzzy limit becomes simpler ,and it not only has a certain value in theory research, but also the advantage of fuzzy structuring element theory in fuzzy analysis and calculation is represented. At last, we will give three conclusions of fuzzy limit. It also establish the foundation for the theory and application of fuzzy analysis.