Abstract
This paper is a further study on the structure and interrelationship of hypergroups. By revealing the nature of the relationship between hypergroup and regular group, the present paper proves some theorems of the structure of hypergroup and constructs some theorems on the homomorphism and isomorphism of hypergroup as well.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Li, H., Wang, P.: The Power Group. Applied Mathematics 4(1), 1–4 (1988)
Zhong, U.Y.: The Structure and Relationship on Hypergroup. Chinese Quarterly Journal of Mathematics 5(4), 102–106 (1990)
Zhong, Y.: The structure of hypergroup on the cyclical group. Chinese Quarterly Journal of Mathematics 9(1), 26–31 (1994)
Zhong, Y.: Isomorphism on Hypergroup. Chinese Quarterly Journal of Mathematics 9(2), 60–63 (1994)
Zhong, Y.: The Homomorphism and Isomorphism on Hypergroup. Chinese Quarterly Journal of Mathematics 12(3), 7–14 (1997)
Zhong, Y.: The Cardinal Number Theorem of Fuzzy Hypergroup. Fuzzy System and Mathematics 12(2), 61–69 (1998)
Luo, C., Mi, H.: Fuzzy powergroup. Fuzzy Systems and Mathematics 8(1), 19 (1994)
Zhong, Y.: The Existence of HX-RING. Applied Mathematics Journal of Chinese University 15(2), 134–138 (2000)
Zhong, Y.: Fuzzy Hyper-ring. Journal of Guangzhou University 5(4), 1–5 (2006)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Zheng, J. (2009). Presentation and Relationship of the Structure of Hypergroup. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-88914-4_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88913-7
Online ISBN: 978-3-540-88914-4
eBook Packages: EngineeringEngineering (R0)