On properties of fuzzy subspaces of vectorspaces

In this paper, we introduce the notion of normal fuzzy subspace of vector spaces. By using it, we construct new fuzzy subspaces. We also show that, under certain conditions, a fuzzy subspace of a vector space is two-valued and takes 0 and 1.

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Bibliographic Details
Published inRatio mathematica Vol. 19; no. 1; pp. 1 - 10
Main Author Hedayati, H
Format Journal Article
LanguageEnglish
Published Pescara Accademia Piceno Aprutina dei Velati in Teramo (APAV) 01.12.2009
Accademia Piceno Aprutina dei Velati
Subjects
Subspaces
vector space, fuzzy subspace, normal fuzzy subspace
Vector spaces
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Summary:In this paper, we introduce the notion of normal fuzzy subspace of vector spaces. By using it, we construct new fuzzy subspaces. We also show that, under certain conditions, a fuzzy subspace of a vector space is two-valued and takes 0 and 1.
ISSN:1592-7415
2282-8214