Fuzzy subfields

Davender S. Malik; John N. Mordeson

doi:10.1016/0165-0114(90)90034-4

Fuzzy subfields

Davender S. Malik, John N. Mordeson

Department of Mathematics

Research output: Contribution to journal › Article

7 Citations (Scopus)

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
Pages (from-to)	383-388
Number of pages	6
Journal	Fuzzy Sets and Systems
Volume	37
Issue number	3
DOIs	https://doi.org/10.1016/0165-0114(90)90034-4
State	Published - Sep 28 1990

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Subfield

Field extension

If and only if

All Science Journal Classification (ASJC) codes

Artificial Intelligence
Computer Science Applications
Computer Vision and Pattern Recognition
Information Systems and Management
Statistics, Probability and Uncertainty
Electrical and Electronic Engineering
Statistics and Probability

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

Fuzzy subfields. / Malik, Davender S.; Mordeson, John N.

In: Fuzzy Sets and Systems, Vol. 37, No. 3, 28.09.1990, p. 383-388.

Research output: Contribution to journal › Article

Malik, DS & Mordeson, JN 1990, 'Fuzzy subfields', Fuzzy Sets and Systems, vol. 37, no. 3, pp. 383-388. https://doi.org/10.1016/0165-0114(90)90034-4

Malik DS, Mordeson JN. Fuzzy subfields. Fuzzy Sets and Systems. 1990 Sep 28;37(3):383-388. https://doi.org/10.1016/0165-0114(90)90034-4

Malik, Davender S. ; Mordeson, John N. / Fuzzy subfields. In: Fuzzy Sets and Systems. 1990 ; Vol. 37, No. 3. pp. 383-388.

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Access to Document

10.1016/0165-0114(90)90034-4