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ON THE WEAK NATURAL NUMBER OBJECT OF THE WEAK TOPOS 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
2010, v.17 no.2, pp.137-143
Kim, Ig-Sung
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Abstract

Category Fuz of fuzzy sets has a similar function to the Category Set. But it forms a weak topos. We study a natural number object and a weak natural number object in the weak topos Fuz. Also we study the weak natural number object in <TEX>$Fuz^C$</TEX>.

keywords
weak topos, Fuz, natural number object, weak natural number object

Reference

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Yuan, X.-h.;Li, H.;Lee, E.S.. (2002). Categories of fuzzy sets and weak topos. Fuzzy Sets and Systems, 127(3), 291-297. 10.1016/S0165-0114(01)00119-1.

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