In time–frequency analysis, an increasing interest is to develop various tools split a signal into set of non-overlapping frequency regions without the influence their adjacent regions. Although framelet ideal tool for most framelets only give overlapping partition domain. order obtain domain, sets and associated scaling are introduced. this study, we will investigate relation between (or scali...

In this paper, we take a GL-quantale as the truth value table to study a new rough set model—L-valued fuzzy rough sets. The three key components of this model are: an L-fuzzy set A as the universal set, an L-valued relation of A and an L-fuzzy set of A (a fuzzy subset of fuzzy sets). Then L-valued fuzzy rough sets are completely characterized via both constructive and axiomatic approaches.