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Implication operators on the set of ∨-irreducible element in the linguistic truth-valued intuitionistic fuzzy lattice

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Abstract

We construct a kind of linguistic truth-valued intuitionistic fuzzy lattice based on linguistic truth-valued lattice implication algebras to deal with linguistic truth values. We get some properties of implication operators on the set of ∨-irreducible elements. And furthermore the implication operators on the linguistic truth-valued intuitionistic fuzzy lattice are discussed. The proposed system can better express both comparable and incomparable information. Also it can deal with both positive and negative evidences which are represented by linguistic truth values at the same time during the information processing system.

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Acknowledgments

This work is partly supported by national nature science foundation of China (Grant Nos. 61105059, 61175055, 61173100), Liaoning excellent talents in university (LJQ2011116), Sichuan Key Technology Research and Development Program under Grant No. 2011FZ0051, the research fund of Sichuan key laboratory of intelligent network information processing (SGXZD1002-10) and the key laboratory of the radio signals intelligent processing (Xihua university) (XZD0818-09).

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Authors and Affiliations

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

    Li Zou

  2. Informedia Electronic Co., Ltd, Dalian, 116001, China

    Li Zou

  3. School of Mathematics, Liaoning Normal University, Dalian, 116029, China

    Xin Liu

  4. School of Mathematics and Computer Engineering, Xihua University, Chengdu, 610039, China

    Zheng Pei

  5. School of Computer Science and Technology, Dalian University of Technology, Dalian, 116024, China

    Degen Huang

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  1. Li Zou
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  2. Xin Liu
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  3. Zheng Pei
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  4. Degen Huang
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Correspondence to Li Zou.

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Zou, L., Liu, X., Pei, Z. et al. Implication operators on the set of ∨-irreducible element in the linguistic truth-valued intuitionistic fuzzy lattice. Int. J. Mach. Learn. & Cyber. 4, 365–372 (2013). https://doi.org/10.1007/s13042-012-0100-1

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  • DOI: https://doi.org/10.1007/s13042-012-0100-1

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