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Connections with Related Algebras

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Lattice-Valued Logic

Part of the book series: Studies in Fuzziness and Soft Computing ((STUDFUZZ,volume 132))

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Abstract

BCK-algebra [194], MV-algebra [52], FI-algebra [525], residuated lattice [153], R0-algebra [500], and lattice implication algebra [534] are all related to logic. This chapter is mainly devoted to the discussion of relations between lattice implication algebra and the other algebras.

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Authors and Affiliations

  1. Department of Applied Mathematics, Southwest Jiaotong University, 610031, Chengdu, Sichuan, PR China

    Professor Dr. Yang Xu & Professor Dr. Keyun Qin

  2. Belgian Nuclear Research Center ( SCK*CEN), Boeretang 200, 2400, Mol, Belgium

    Professor Dr. Da Ruan

  3. Department of Mathematics, The University of Manchester Institute of Science and Technology, PO Box 88, M60 1 QD, Manchester, UK

    Dr. Jun Liu

Authors
  1. Professor Dr. Yang Xu
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  2. Professor Dr. Keyun Qin
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  3. Professor Dr. Da Ruan
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  4. Dr. Jun Liu
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© 2003 Springer-Verlag Berlin Heidelberg

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Xu, Y., Qin, K., Ruan, D., Liu, J. (2003). Connections with Related Algebras. In: Lattice-Valued Logic. Studies in Fuzziness and Soft Computing, vol 132. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-44847-1_7

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  • DOI: https://doi.org/10.1007/978-3-540-44847-1_7

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-07279-6

  • Online ISBN: 978-3-540-44847-1

  • eBook Packages: Springer Book Archive

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