THE COMPLETION OF SOME METRIC SPACE OF FUZZY NUMBERS

Choi, Hee-Chan; Choi, Hee-Chan

P-ISSN1226-0657
E-ISSN2287-6081
KCI

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Vol.2 No.1

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

1995, v.2 no.1, pp.9-16

Choi, Hee-Chan

Choi,, H. (1995). . Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 2(1), 9-16.

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Abstract

D. Dubois and H. Prade introduced the notions of fuzzy numbers and defined its basic operations [3]. R. Goetschel, W. Voxman, A. Kaufmann, M. Gupta and G. Zhang [4,5,6,9] have done much work about fuzzy numbers. Let <TEX>$\mathbb{R}$</TEX> the set of all real numbers and <TEX>$F^{*}(\mathbb{R})$</TEX> all fuzzy subsets defined on <TEX>$\mathbb{R}$</TEX>. G. Zhang [8] defined the fuzzy number <TEX>$\tilde{a}\;\in\;F^{*}(\mathbb{R})$</TEX> as follows : (omitted)

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Vol.2 No.1

Abstract

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics