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Issue:The power object of category IFuz

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Title of paper: The power object of category IFuz
Author(s):
Yuan Xue-hai
Department of Mathematics. Liaoning Normal University, Dalian 116029 P. R.China
Published in: "Notes on Intuitionistic Fuzzy Sets", Volume 3 (1997) Number 3, pages 92—96
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Abstract: In this paper, we continue to discuss category IFuz of intuitionistic fuzzy sets (IFS). By the use of wtopos IFuz,we prove that category IFuz has power objects.
Keywords: Intuitionistic fuzzy sets,category , topos, wtopos,power object.
References:
  1. K. Atanassov. Intuitionistic fuzzy sets. Fuzzy sets and systems , 20(1986)87 — 96.
  2. J. C. Carrega. The categories SetH and FuzH. Fuzzy sets and systems, 9(1983)327 — 332.
  3. R. Goldblatt. Topoi-the categorical analysts of logic . North —Holland Amsterdam ,1979.
  4. Ulrich Hohle and Lawrence Neff Stout. Foundations of fuzzy sets. Fuzzy sets and systems, 40(1991)257 — 296.
  5. X. H. Yuan and E. S. Lee. Categorical analysis of logic operators on fuzzy sets. J. Math. Anal. Appl. 177(1979)600—607.
  6. Yuan Xue-hai. Category IFuz and WTOPOS. Notes on IFS, Vol. 2. No3(1996)15 — 19
  7. X. H. Yuan, Categories of intuitionistic fuzzy sets, J. of Liaoning Normal University(Chinese), 2(1993)99 — 103.
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