软模糊集的扩张（英文）

The extension of soft fuzzyset

软模糊集是Molodtsov软集的推广,对软模糊集理论进行了研究.首先,为解决Molodtsov软集的经典问题,提出了软模糊集的概念.软模糊集比软集更能真实反映现实.其次,定义了软模糊集的扩张,这不仅可以更好地进行软模糊集的运算,而且可以解决实际问题.最后,讨论了软模糊集扩张间的一些运算和性质.

The aim of this paper is to give the theory of soft fuzzy sets,which is a generalization of the soft sets initiated by MOLODTSOV.In order to solve the classic problem in MOLODTSOV＇s soft sets,the notion of soft fuzzy set is firstly introduced.It will show that the soft fuzzy set is more realistic than the soft set.Then,the concept of the extension of soft fuzzy set is defined.It is not only good for the operations on soft fuzzy sets,but also applicable to solve the practical problems.Finally,some properties of the extensions and operations of soft fuzzy sets are discussed.