Korean J. Math. Vol. 25 No. 4 (2017) pp.579-585
DOI: https://doi.org/10.11568/kjm.2017.25.4.579

Weak injectivity in the category of normal fuzzy hypergroups

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Igsung Kim

Abstract

Based on injectivity, we introduce some definitions in the category NFHG of normal fuzzy hypergroups. And we show that a complete normal fuzzy hypergroup is a weakly injective object in NFHG. Also we investigate weak injectivity in the comma category NFHG/K.


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References

[1] B. Banaschewski, Injectivity and modelling in the Blass topos, J. Pure and Applied Algebra 49 (1987), 1–10. Google Scholar

[2] F. Cagliari and S. Mantovani, Injective topological fibre spaces, Topology Appl. 125 (3) (2002), 525–532. Google Scholar

[3] F. Cagliari and S. Mantovani, Injectivity and sections, J. Pure and Applied Algebra 204 (2006), 79–89. Google Scholar

[4] R. Goldblatt, Topoi, North-Holland, 1984. Google Scholar

[5] F. Farsad and A. Mandanshekaf, Regular injectivity and exponentiablity in the slice categories of actions of pomonoid on posets, K.M.S (2015), 67–80. Google Scholar

[6] K. Sun, X. H. Yuan, and H. Li, Fuzzy hypergroups based on fuzzy relation, Comput. Math. Appl, (2010). Google Scholar