Partial ordering in L-underdeterminate sets (Q1065038)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Partial ordering in L-underdeterminate sets |
scientific article; zbMATH DE number 3920537
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Partial ordering in L-underdeterminate sets |
scientific article; zbMATH DE number 3920537 |
Statements
Partial ordering in L-underdeterminate sets (English)
0 references
1985
0 references
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).
0 references
fuzzy relations
0 references
fuzzy equivalence
0 references
fuzzy partial order
0 references
linear extension
0 references
