Fuzzy subfields

Davender S. Malik, John N. Mordeson

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)383-388
Number of pages6
JournalFuzzy Sets and Systems
Volume37
Issue number3
DOIs
StatePublished - Sep 28 1990

Fingerprint

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

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 journalArticle

Malik, Davender S. ; Mordeson, John N. / Fuzzy subfields. In: Fuzzy Sets and Systems. 1990 ; Vol. 37, No. 3. pp. 383-388.
@article{566ab445f1ca4286a26dfab033123796,
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.",
author = "Malik, {Davender S.} and Mordeson, {John N.}",
year = "1990",
month = "9",
day = "28",
doi = "10.1016/0165-0114(90)90034-4",
language = "English",
volume = "37",
pages = "383--388",
journal = "Fuzzy Sets and Systems",
issn = "0165-0114",
publisher = "Elsevier",
number = "3",

}

TY - JOUR

T1 - Fuzzy subfields

AU - Malik, Davender S.

AU - Mordeson, John N.

PY - 1990/9/28

Y1 - 1990/9/28

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.

UR - http://www.scopus.com/inward/record.url?scp=44949286990&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=44949286990&partnerID=8YFLogxK

U2 - 10.1016/0165-0114(90)90034-4

DO - 10.1016/0165-0114(90)90034-4

M3 - Article

VL - 37

SP - 383

EP - 388

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

SN - 0165-0114

IS - 3

ER -