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http://ifigenia.org/wiki/issue:nifs/2/3/15-19
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| Title of paper:
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Category IFuz and WTOPOS
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| Author(s):
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| Yuan Hue-hai
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| Dept. of Mathematics, Liaoning Normal University, Dalian 116029, P. R. China
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| Published in:
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"Notes on Intuitionistic Fuzzy Sets", Volume 2 (1996) Number 3, pages 15—19
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| Download:
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 PDF (2874 Kb, File info)
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| Abstract:
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In this paper, category IFuz of intuitionistic fuzzy sets (IFS) is built up and two objects (middle object and WSC) are introduced in IFuz. By the use of middle objects and WSC, category IFuz makes a wtopos. Wtopos has similiar functions to topos. So logic operators can be obtained logically.
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| Keywords:
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Intuitionistic fuzzy sets, category, topos
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| References:
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- J. C. Carrega. the categories SetH and FuzH. Fuzzy sets and systems, 9 (1983) 327—332.
- Ulrich Hohle and Lawrence Neff Stout. Foundations of fuzzy sets. Fuzzy sets mid systems,40(191) 257—296.
- K. Atanassov. Intuitionistic fuzzy sets. Fuzzy ses and systerns, 20(1986) 87—96.
- X. H. Yuan and E. S. Lee. Categorical analysis of logic operators on fuzzy sets. J. Math. Anal.Appl. 177(193) 600—607.
- X. H. Yuan, Categories of intuitionistic fuzzy sets, J. of Liaoning Normal University (Chinese), 2(1993) 99—103.
- R. Goldblatt, Topoi:the categorical analysis of logic, North—Holland Amsterdam, 1979.
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