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An Algebraic Analysis for Binary Intuitionistic L-Fuzzy Relations

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Book cover Foundations and Applications of Intelligent Systems

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 213))

Abstract

From the point of view of algebraic logic, this paper presents an algebraic analysis for binary intuitionistic lattice-valued fuzzy relations based on lattice implication algebras, which is a kind of lattice-valued propositional logical algebras. By defining suitable operations, we prove that the set of all binary intuitionistic lattice-valued fuzzy relations is a lattice-valued relation algebra, and some important properties are also obtained. This research shows that the algebraic description is advantageous to studying of structure of intuitionistic fuzzy relations.

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Acknowledgments

The work was partially supported by the National Natural Science Foundation of China (Grant No. 61100046, 61175055) and the application fundamental research plan project of Sichuan Province (Grant No. 2011JY0092), and the Fundamental Research Funds for the Central Universities (Grant No. SWJTU12CX054, SWJTU12ZT14).

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Authors and Affiliations

  1. School of Mathematics, Southwest Jiaotong University, Sichuan, 610031, Chengdu, People’s Republic of China

    Xiaodong Pan & Peng Xu

Authors
  1. Xiaodong Pan
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  2. Peng Xu
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Correspondence to Xiaodong Pan .

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Editors and Affiliations

  1. Department of Computer Science and Technology, Tsinghua University, Beijing, People's Republic of China

    Fuchun Sun

  2. School of Information Science and Technology, Southwest Jiaotong University, Chengdu, People's Republic of China

    Tianrui Li

  3. Department of Computer Science and Techn, Tsinghua University, Beijing, People's Republic of China

    Hongbo Li

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Pan, X., Xu, P. (2014). An Algebraic Analysis for Binary Intuitionistic L-Fuzzy Relations. In: Sun, F., Li, T., Li, H. (eds) Foundations and Applications of Intelligent Systems. Advances in Intelligent Systems and Computing, vol 213. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37829-4_2

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  • DOI: https://doi.org/10.1007/978-3-642-37829-4_2

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-37828-7

  • Online ISBN: 978-3-642-37829-4

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