Wenyi Chen

Department of Mathematics, Ocean University of China, Qing Dao 266071, PR China

[ 1 ] - ON THE SYSTEM OF LEVEL-ELEMENTS INDUCED BY AN L-SUBSET

This paper focuses on the relationship between an $L$-subset and the system of level-elements induced by it, where the underlying lattice $L$ is a complete residuated lattice and the domain set of $L$-subset is an $L$-partially ordered set $(X,P)$. Firstly, we obtain the sufficient and necessary condition that an $L$-subset is represented by its system of level-elements. Then, a new representat...

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