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Properties of Linguistic Truth-Valued Intuitionistic Fuzzy Lattice

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Knowledge Engineering and Management

Part of the book series: Advances in Intelligent and Soft Computing ((AINSC,volume 123))

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Abstract

A kind of linguistic truth-valued intuitionistic fuzzy lattice algebra based on the point view of intuitionistic fuzzy set and linguistic truth-valued lattice implication algebra is discussed. As a fundament of linguistic truth-valued intuitionistic fuzzy, some algebra properties are obtained. The result shows that linguistic truth-valued intuitionistic fuzzy lattice algebra is a residual lattice, but it is not MTL-algebra and R 0-algebra.

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Author information

Authors and Affiliations

  1. School of Computer and Information Technology, Liaoning Normal University, Dalian, 116029, P.R. China

    Fengmei Zhang & Li Zou

  2. Dalian Vocational and Technical College, Dalian, 116035, China

    Yunguo Hong

Authors
  1. Fengmei Zhang
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  2. Yunguo Hong
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  3. Li Zou
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Shanghai Jiao Tong University, 800 Dongchuan Road, 200240, Shanghai, China

    Yinglin Wang

  2. School of Information Science and Technology, Southwest Jiaotong University, 610031, Chengdu, Sichuan Province, China

    Tianrui Li

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© 2011 Springer-Verlag Berlin Heidelberg

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Zhang, F., Hong, Y., Zou, L. (2011). Properties of Linguistic Truth-Valued Intuitionistic Fuzzy Lattice. In: Wang, Y., Li, T. (eds) Knowledge Engineering and Management. Advances in Intelligent and Soft Computing, vol 123. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25661-5_79

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  • DOI: https://doi.org/10.1007/978-3-642-25661-5_79

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-25660-8

  • Online ISBN: 978-3-642-25661-5

  • eBook Packages: EngineeringEngineering (R0)

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