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Fuzzy Information and Engineering pp 251–257Cite as

Lattice Minimal Automata and Lattice Reduced Automata

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

Abstract

We apply lattice ordered monoids in the study of lattice finite automata, and obtain some results similar to the ones of fuzzy finite automata. In this paper, the concepts of lattice minimal automata and lattice reduced automata are put forward, and the relationship of them associated with an L-language is discussed. Moreover, the L-fuzzy equivalence relation on states is defined, and an algorithm to minimize the lattice finite automata is presented based on clustering states.

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Author information

Authors and Affiliations

  1. College of Mathematics and Software Science, Sichuan Normal University, P.R. China

    Yang Wang & Zhi-wen Mo

Authors
  1. Yang Wang
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  2. Zhi-wen Mo
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Editor information

Editors and Affiliations

  1. Guangzhou Higher Education Mega Center, Guangzhou University, 230Wai Huan Xi Road, 510006, China

    Bing-yuan Cao

  2. Department of Mathematics, Hainan Normal University, Haikou, 571158, Hainan, P.R. China

    Cheng-yi Zhang

  3. Department of Electronic Information Engineering, Chongqing University of Science & Technology, 401331, Chongqing

    Tai-fu Li

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© 2009 Springer-Verlag Berlin Heidelberg

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Wang, Y., Mo, Zw. (2009). Lattice Minimal Automata and Lattice Reduced Automata. 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_32

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  • DOI: https://doi.org/10.1007/978-3-540-88914-4_32

  • 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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