Fuzzy subfields

D. S. Malik; John N. Mordeson

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

Fuzzy subfields

D. S. Malik, John N. Mordeson

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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	https://doi.org/10.1016/0165-0114(90)90034-4
State	Published - Sep 28 1990

All Science Journal Classification (ASJC) codes

Logic
Artificial Intelligence

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10.1016/0165-0114(90)90034-4

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title = "Fuzzy subfields",

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.",

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N2 - 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.

AB - 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.

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JO - Fuzzy Sets and Systems

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SN - 0165-0114

IS - 3

ER -

Fuzzy subfields

Abstract

All Science Journal Classification (ASJC) codes

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