FUZZY BASIS OF FUZZY HYPERVECTOR SPACES

Document Type : Research Paper

Authors

1 School of Mathematics, Statistics and Computer Science, College of Sciences, University of Tehran, Tehran, Iran

2 Department of Mathematics, Faculty of Basic Sciences, University of Mazandaran, Babolsar, Iran

Abstract

The aim of this paper is the study of fuzzy basis and dimension
of fuzzy hypervector spaces. In this regard, first the notions of fuzzy linear
independence and fuzzy basis are introduced and then some related results are
obtained. In particular, it is shown that for a large class of fuzzy hypervector
space the fuzzy basis exist. Finally, dimension of a fuzzy hypervector space is
defined and the basic properties of that are investigated.

Keywords

References

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Iranian Journal of Fuzzy Systems
Volume 7, Issue 3 - Serial Number 3
September and October 2010
Pages 97-113

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