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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

Weak Axiom of Choice on the Category Fuz

한국수학교육학회지시리즈B:순수및응용수학 / 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 (SANGJI UNIVERSITY)
Kim, Ig-Sung. (2006). WEAK AXIOM OF CHOICE ON THE CATEGORY FUZ. 한국수학교육학회지시리즈B:순수및응용수학, 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

한국수학교육학회지시리즈B:순수및응용수학

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