Partial ordering in L-underdeterminate sets
The paper introduces a new approach to the consideration of fuzzy relations. Properties of fuzzy relations are defined with respect to a fuzzy equivalence E in the crisp set X considered (the pair (X,E) is called an underdeterminate set). In particular, fuzzy partial order in (X,E) is considered and the existence of a linear extension in (X,E) is proved (a generalization of the Szpilrain theorem).
scientific article; zbMATH DE number 3920537