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- Title
ON THE SYSTEM OF LEVEL-ELEMENTS INDUCED BY AN L-SUBSET.
- Authors
Fang, J.; Li, Y.; Chen, W.
- Abstract
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 representation theorem of intersection-preserving L-subsets is shown by using union-preserving system of elements. At last, another representation theorem of compatible intersection-preserving L-subsets is obtained by means of compatible union-preserving system of elements.
- Subjects
LEVEL set methods; SUBSET selection; LATTICE theory; PARTIALLY ordered sets; MATHEMATICS theorems
- Publication
Iranian Journal of Fuzzy Systems, 2017, Vol 14, Issue 2, p93
- ISSN
1735-0654
- Publication type
Article