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ISSN : 1226-0657

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Vol.13 No.4

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Weak Axiom of Choice on the Category Fuz

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
2006, v.13 no.4, pp.249-254
Kim, Ig-Sung
Kim,, I. (2006). Weak Axiom of Choice on the Category Fuz. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 13(4), 249-254.

Abstract

Category Fuz of fuzzy sets has a similar function to the topos Set. But Category Fuz forms a weak topos. We show that supports split weakly(SSW) and with some properties, implicity axiom of choice(IAC) holds in weak topos Fuz. So weak axiom of choice(WAC) holds in weak topos Fuz. Also we show that weak extensionality principle for arrow holds in weak topos Fuz.

keywords
category Fuz, axiom of choice, extensionality principle for arrow, weak topos

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

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