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- Title
Lower and upper fuzzy topological subhypergroups.
- Authors
Cristea, Irina; Zhan, Jian
- Abstract
This paper provides a new connection between algebraic hyperstructures and fuzzy sets. More specifically, using both properties of fuzzy topological spaces and those of fuzzy subhypergroups, we define the notions of lower (upper) fuzzy topological subhypergroups of a hypergroup endowed with a fuzzy topology. Some results concerning the image and the inverse image of a lower (upper) topological subhypergroup under a very good homomorphism of hypergroups (endowed with fuzzy topologies) are pointed out.
- Subjects
FUZZY topology; HYPERGROUPS; FUZZY sets; HOMOMORPHISMS; APPLIED mathematics; MATHEMATICAL analysis
- Publication
Acta Mathematica Sinica, 2013, Vol 29, Issue 2, p315
- ISSN
1439-8516
- Publication type
Article
- DOI
10.1007/s10114-012-1170-4