标题： 区间值模糊软$β$-覆盖近似空间 显示英文标题

标题： Interval-valued fuzzy soft $β$-covering approximation spaces

摘要： 区间值模糊软$\beta$-覆盖近似空间（IFS$\beta$CASs）的概念被引入以结合软集、粗糙集和区间值模糊集的理论，探讨了关于区间值模糊软$\beta$-邻域和IFS$\beta$CASs 的软$\beta$-邻域的一些基本命题。然后研究了四种基于区间值模糊软$\beta$-覆盖的模糊粗糙集。最后，研究了四种基于区间值模糊软$\beta$-覆盖的模糊粗糙集之间的关系。 显示英文摘要

摘要： The concept of interval-valued fuzzy soft $\beta$-covering approximation spaces (IFS$\beta$CASs) is introduced to combine the theories of soft sets, rough sets and interval-valued fuzzy sets, and some fundamental propositions concerning interval-valued fuzzy soft $\beta$-neighborhoods and soft $\beta$-neighborhoods of IFS$\beta$CASs are explored. And then four kinds of interval-valued fuzzy soft $\beta$-coverings based fuzzy rough sets are researched. Finally, the relationships of four kinds of interval-valued fuzzy soft $\beta$-coverings based fuzzy rough sets are investigated.