2,515 research outputs found
A Note on Intuitionistic Fuzzy Hypervector Spaces
The notion of Intuitionistic fuzzy hypervector space has been generalized and
a few basic properties on this concept are studied. It has been shown that the
intersection and union of an arbitrary family of Intuitionistic fuzzy
hypervector spaces are also Intuitionistic fuzzy hypervector space. Lastly, the
notion of a linear transformation on a hypervector space is introduced and
established an important theorem relative to Intuitionistic fuzzy hypervector
spaces.Comment: 13 page
A Note on Hypervector Spaces
The main aim of this paper is to generalize the concept of vector space by
the hyperstructure. We generalize some definitions such as hypersubspaces,
linear combination, Hamel basis, linearly dependence and linearly independence.
A few important results like deletion theorem, extension theorem, dimension
theorem have been established in this hypervector space.Comment: 17 page
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