FUZZY BASIS OF FUZZY HYPERVECTOR SPACES

Author(s):

R. Ameri , O. R. Dehghan

Abstract:
The aim of this paper is the study of fuzzy basis, dimension of fuzzy hypervector spaces. In this regard, first the notions of fuzzy linear independence, fuzzy basis are introduced, 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, the basic properties of that are investigated.
Language:
English
Published:
Iranian journal of fuzzy systems, Volume:7 Issue: 3, Oct 2010
Pages:
97 to 113
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