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Bases of G - V Intuitionistic Fuzzy Matroids

Author

Listed:
  • Yonghong Li

    (School of Science/Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China)

  • Li Li

    (School of Science/Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China)

  • Jiang Li

    (School of Science/Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China)

  • Dong Qiu

    (School of Science/Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China)

  • Huiming Duan

    (School of Science/Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing 400065, China)

Abstract

The purpose of this paper is to study intuitionistic fuzzy bases ( I F B s ) and the intuitive structure of a G − V I F M . Firstly, the intuitionistic fuzzy basis ( I F B ) of a G − V I F M is defined; then the h -range and properties of an I F B are presented and a necessary and sufficient condition of a closed G − V I F M is studied. Especially, a necessary and sufficient condition of judging an I F B is presented and the intuitive tree structure of a closed G − V I F M is proposed and its properties are discussed.

Suggested Citation

  • Yonghong Li & Li Li & Jiang Li & Dong Qiu & Huiming Duan, 2020. "Bases of G - V Intuitionistic Fuzzy Matroids," Mathematics, MDPI, vol. 8(9), pages 1-14, August.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:9:p:1392-:d:401364
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    References listed on IDEAS

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    1. Kasperski, Adam & Zielinski, Pawel, 2007. "On combinatorial optimization problems on matroids with uncertain weights," European Journal of Operational Research, Elsevier, vol. 177(2), pages 851-864, March.
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