@article {
author = {Fang, Jinming and Li, Youyan and Chen, Wenyi},
title = {ON THE SYSTEM OF LEVEL-ELEMENTS INDUCED BY AN L-SUBSET},
journal = {Iranian Journal of Fuzzy Systems},
volume = {14},
number = {2},
pages = {93-105},
year = {2017},
publisher = {University of Sistan and Baluchestan},
issn = {1735-0654},
eissn = {2676-4334},
doi = {10.22111/ijfs.2017.3135},
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.},
keywords = {Complete residuated lattice,$L$-partially ordered set,$L$-subset,System of level-elements,Union-preserving system of elements,Compatible union-preserving system of elements,Representation theorem},
url = {http://ijfs.usb.ac.ir/article_3135.html},
eprint = {http://ijfs.usb.ac.ir/article_3135_8463d3b272c307c070fd6fde0df0c457.pdf}
}