Fuzzy linear and affine spaces (Q803230)

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scientific article; zbMATH DE number 4200390
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Fuzzy linear and affine spaces
scientific article; zbMATH DE number 4200390

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    Fuzzy linear and affine spaces (English)
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    1990
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    Fuzzy linear spaces were examined by \textit{A. K. Katsaras} and \textit{D. B. Liu} [J. Math. Anal. Appl. 58, 135-146 (1977; Zbl 0358.46011)] and \textit{R. Lowen} [Fuzzy Sets Syst. 3, 291-310 (1980; Zbl 0439.52001)]. Using the concept of a fuzzy point the author introduces the notion of a basis of a fuzzy linear space and gives an algorithm for computing the basis in the case of a finite-dimensional normed space. Another approach to the fuzzy basis introduced \textit{D. S. Malik} and \textit{J. N. Mordeson} [Inf. Sci. 55, No.1-3, 271-281 (1991; reviewed above)].
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    affine spaces
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    Fuzzy linear spaces
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    fuzzy point
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    normed space
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    fuzzy basis
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