Connections between (weakly) reflexive, antisymmetric and transitive lattice-valued fuzzy relations on a nonempty set X (fuzzy ordering relations on X) and fuzzy subsets of a crisp poset on X (fuzzy posets) are established and various properties of cuts of such structures are proved. A representation of fuzzy sets by cuts corresponding to atoms in atomically generated lattices has also been given. © Springer-Verlag Berlin Heidelberg 2007.
CITATION STYLE
Šešelja, B., & Tepavčevic̀, A. (2007). Fuzzy ordering relation and fuzzy poset. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 4815 LNCS, pp. 209–216). Springer Verlag. https://doi.org/10.1007/978-3-540-77046-6_26
Mendeley helps you to discover research relevant for your work.