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) |
|---|---|
| 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
Fingerprint Dive into the research topics of 'Fuzzy subfields'. Together they form a unique fingerprint.
Cite this
Malik, D. S., & Mordeson, J. N. (1990). Fuzzy subfields. Fuzzy Sets and Systems, 37(3), 383-388. https://doi.org/10.1016/0165-0114(90)90034-4