한국수학교육학회지시리즈B:순수및응용수학 (The Pure and Applied Mathematics)

  • 제17권2호
  • /
  • Pages.137-143
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  • 2010
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  • 1226-0657(pISSN)
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  • 2287-6081(eISSN)
한국수학교육학회 (Korean Society of Mathematical Education)
권호 표지

ON THE WEAK NATURAL NUMBER OBJECT OF THE WEAK TOPOS FUZ

  • Kim, Ig-Sung (DEPARTMENT OF DATA INFORMATION, SANGJI UNIVERSITY)
  • 투고 : 2009.04.17
  • 심사 : 2010.05.10
  • 발행 : 2010.05.31
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초록

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 $Fuz^C$.

키워드

참고문헌

  1. R. Goldblatt: Topoi. North-Holland, 1984.
  2. P. T. Johnstone: Topos Theory. Academic Press, N. Y., 1977.
  3. X. Yuan & E. S. Lee: Category Fuz, Wtopos and Category FuzFuz. J. Math. Anal. Appl. 201 (1966), 489-501.
  4. X. Yuan, H. Li & E. S. Lee: Categories of fuzzy sets and weak topos. Fuzzy Sets and Systems 127 (2002), 291-297. https://doi.org/10.1016/S0165-0114(01)00119-1