Fuzzy vector spaces

Davender S. Malik, John N. Mordeson

Research output: Contribution to journalArticle

21 Citations (Scopus)

Abstract

Let V denote a vector space over a field F and let A denote a fuzzy subspace of V over a fuzzy subfield K of F. Let X be a fuzzy subset of V such that X ⊆ A and let 〈X〉 denote the intersection of all fuzzy subspaces of V over K that contain X and are contained in A. We characterize the fuzzy subspace 〈X〉 of A over K. We use this result to introduce the concept of fuzzy freeness of a fuzzy subset X of V and characterize it in terms of linear independence in the usual sense.

Original languageEnglish
Pages (from-to)271-281
Number of pages11
JournalInformation Sciences
Volume55
Issue number1-3
DOIs
StatePublished - 1991

Fingerprint

Fuzzy Subspace
Vector spaces
Vector space
Fuzzy Subset
Denote
Linear independence
Subfield
Intersection

All Science Journal Classification (ASJC) codes

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

Cite this

Fuzzy vector spaces. / Malik, Davender S.; Mordeson, John N.

In: Information Sciences, Vol. 55, No. 1-3, 1991, p. 271-281.

Research output: Contribution to journalArticle

Malik, Davender S. ; Mordeson, John N. / Fuzzy vector spaces. In: Information Sciences. 1991 ; Vol. 55, No. 1-3. pp. 271-281.
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