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 language | English (US) |
|---|---|
| Pages (from-to) | 271-281 |
| Number of pages | 11 |
| Journal | Information sciences |
| Volume | 55 |
| Issue number | 1-3 |
| DOIs | |
| State | Published - Jun 1991 |
All Science Journal Classification (ASJC) codes
- Software
- Control and Systems Engineering
- Theoretical Computer Science
- Computer Science Applications
- Information Systems and Management
- Artificial Intelligence
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Cite this
Malik, D. S., & Mordeson, J. N. (1991). Fuzzy vector spaces. Information sciences, 55(1-3), 271-281. https://doi.org/10.1016/0020-0255(91)90018-P