Bases of G-V Intuitionistic Fuzzy Matroids

Yonghong Li, Li Li, Jiang Li, Dong Qiu, Huiming Duan · Mathematics · 2020

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

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