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http://ifigenia.org/wiki/issue:nifs/3/3/92-96
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| Title of paper:
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The power object of category IFuz
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| Author(s):
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| Yuan Xue-hai
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| Department of Mathematics. Liaoning Normal University, Dalian 116029 P. R.China
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| Published in:
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"Notes on IFS", Volume 3 (1997) Number 3, pages 92—96
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| Download:
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 PDF (1845 Kb, Info)
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| Abstract:
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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.
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| Keywords:
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Intuitionistic fuzzy sets,category , topos, wtopos,power object.
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| References:
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- K. Atanassov. Intuitionistic fuzzy sets. Fuzzy sets and systems , 20(1986)87 — 96.
- J. C. Carrega. The categories SetH and FuzH. Fuzzy sets and systems, 9(1983)327 — 332.
- R. Goldblatt. Topoi-the categorical analysts of logic . North —Holland Amsterdam ,1979.
- Ulrich Hohle and Lawrence Neff Stout. Foundations of fuzzy sets. Fuzzy sets and systems, 40(1991)257 — 296.
- X. H. Yuan and E. S. Lee. Categorical analysis of logic operators on fuzzy sets. J. Math. Anal. Appl. 177(1979)600—607.
- Yuan Xue-hai. Category IFuz and WTOPOS. Notes on IFS, Vol. 2. No3(1996)15 — 19
- X. H. Yuan, Categories of intuitionistic fuzzy sets, J. of Liaoning Normal University(Chinese), 2(1993)99 — 103.
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