Bases of G - V Intuitionistic Fuzzy Matroids

Yonghong Li, Li Li, Jiang Li, Dong Qiu and Huiming Duan
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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

Mathematics, 2020, vol. 8, issue 9, 1-14

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.

Keywords: matroid; bases; fuzzy matroid; intuitionistic fuzzy matroid; intuitionistic fuzzy bases (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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