FUZZY BASIS OF FUZZY HYPERVECTOR SPACES
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Abstract:
The aim of this paper is the study of fuzzy basis and dimensionof fuzzy hypervector spaces. In this regard, first the notions of fuzzy linearindependence and fuzzy basis are introduced and then some related results areobtained. In particular, it is shown that for a large class of fuzzy hypervectorspace the fuzzy basis exist. Finally, dimension of a fuzzy hypervector space isdefined and the basic properties of that are investigated.
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Journal title
volume 7 issue 3
pages 97- 113
publication date 2010-10-09
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