Fuzzy Ordering Relation and Fuzzy Poset

摘要

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.rnA representation of fuzzy sets by cuts corresponding to atoms in atom-ically generated lattices has also been given.rnAMS Mathematics Subject Classification (1991): 04A72.