Abstract
This paper develops some basic properties of fuzzy subfields of a field. Properties of field extensions are characterized in terms of fuzzy subfields and vice versa. We show for example that a field extension F K is finite dimensional if and only if the image of every fuzzy subfield A of F such that {x ε{lunate} F ... A(1) ≥ A(1)} ⊇ K is finite.
Original language | English (US) |
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Pages (from-to) | 383-388 |
Number of pages | 6 |
Journal | Fuzzy Sets and Systems |
Volume | 37 |
Issue number | 3 |
DOIs | |
State | Published - Sep 28 1990 |
All Science Journal Classification (ASJC) codes
- Logic
- Artificial Intelligence