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Presentation and Relationship of the Structure of Hypergroup

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Book cover Fuzzy Information and Engineering

Part of the book series: Advances in Soft Computing ((AINSC,volume 54))

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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.

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References

  1. Li, H., Wang, P.: The Power Group. Applied Mathematics 4(1), 1–4 (1988)

    MATH  Google Scholar 

  2. Zhong, U.Y.: The Structure and Relationship on Hypergroup. Chinese Quarterly Journal of Mathematics 5(4), 102–106 (1990)

    Google Scholar 

  3. Zhong, Y.: The structure of hypergroup on the cyclical group. Chinese Quarterly Journal of Mathematics 9(1), 26–31 (1994)

    MATH  Google Scholar 

  4. Zhong, Y.: Isomorphism on Hypergroup. Chinese Quarterly Journal of Mathematics 9(2), 60–63 (1994)

    MATH  Google Scholar 

  5. Zhong, Y.: The Homomorphism and Isomorphism on Hypergroup. Chinese Quarterly Journal of Mathematics 12(3), 7–14 (1997)

    MATH  Google Scholar 

  6. Zhong, Y.: The Cardinal Number Theorem of Fuzzy Hypergroup. Fuzzy System and Mathematics 12(2), 61–69 (1998)

    Google Scholar 

  7. Luo, C., Mi, H.: Fuzzy powergroup. Fuzzy Systems and Mathematics 8(1), 19 (1994)

    MathSciNet  Google Scholar 

  8. Zhong, Y.: The Existence of HX-RING. Applied Mathematics Journal of Chinese University 15(2), 134–138 (2000)

    MATH  Google Scholar 

  9. Zhong, Y.: Fuzzy Hyper-ring. Journal of Guangzhou University 5(4), 1–5 (2006)

    MathSciNet  Google Scholar 

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© 2009 Springer-Verlag Berlin Heidelberg

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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

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  • 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)

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