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http://ifigenia.org/wiki/issue:nifs/5/1/9-13
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| Title of paper:
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Four intuitionistic fuzzy categories represented by functor categories
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| Author(s):
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| Zhang Cheng
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| Department of Mathematics, Dalian University, Dalian 116622, P.R.China
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| Yuan Xue-hai
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| Deparment 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 5 (1999) Number 1, pages 9—13
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| Download:
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 PDF (3077 Kb, File info)
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| Abstract:
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By the use of the category IFuz of the IFSs, four intuitionistic fuzzy categories such as IFuz2, IFuz→, M-IFuz and IFBn(I) are obtained and they can be represented as functor categories from small categories to category IFuz of IFSs respectively.
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| Keywords:
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IFSs, categories, functors, natural transformations.
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| References:
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- K. Atanassov. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20 (1996) 87-96.
- R. Goldblatt. Topoi: the categorical analysis of logic, North-Holland Amsterdam, 1979.
- Maclane S. Categories for the working mathematician, Springer-Verlag, 1971.
- X. H. Yuan and E. S. Lee. Categorical analysis of logic operators on fuzzy sets. J. Math. Anal. Appl. 177 (1993) 600-607.
- X. H. Yuan. Category IFuz and WTOPOS. Notes on IFS, Vol. 2, No. 3 (1996) 15-19.
- X. H. Yuan. The power object of category IFuz. Notes on IFS, Vol. 3, No. 3 (1997) 92-96.
- X. H. Yuan. Comparisons between category Fuz and category Set. The Journal of Fuzzy Mathematics, Vol. 5, No. 4 (1997) 907-914.
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