The representation theorems of L-fuzzy sets and their applications

Fu-Gui Shi · Journal of Natural Science of Heilongjiang University · 2002

The authors introduce two new concepts of L - nested sets which are based on the concepts of minimal set and maximal set where L is a completely distributive lattice. They are generalizations of nested sets in [1] and different from L-nested sets in[l].Hence they obtain new decomposition theorems and representation theorems. Further they give the representations of closure,interior and derived set of a L -fuzzy set in an induced space.

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