Weak injectivity in the category of normal fuzzy hypergroups

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.

Keywords


normal fuzzy hypergroup, complete element, weakly injective object

Full Text:

PDF

References


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

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

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

R. Goldblatt, Topoi, North-Holland, 1984.

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.

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




DOI: http://dx.doi.org/10.11568/kjm.2017.25.4.579

Refbacks

  • There are currently no refbacks.


ISSN: 1976-8605 (Print), 2288-1433 (Online)

Copyright(c) 2013 By The Kangwon-Kyungki Mathematical Society, Department of Mathematics, Kangwon National University Chuncheon 21341, Korea Fax: +82-33-259-5662 E-mail: kkms@kangwon.ac.kr