The tree structure of a closed G-V fuzzy matroid

Article type: Research Article

Authors: Li, Yonghong^{; *} | Li, Jiang

Affiliations: School of Science, Chongqing University of Posts and Telecommunications, Nan’an, Chongqing, China

Correspondence: [*] Corresponding author. Yonghong Li, School of Science, Chongqing University of Posts and Telecommunications, Nan’an, Chongqing, 400065, China. E-mail: liyh@cqupt.edu.cn.

Abstract: In this paper, the judgment of fuzzy bases of a closed G-V fuzzy matroid is studied and a necessary and sufficient condition of judging fuzzy bases is presented. Based on the results, an intuitive tree structure of a closed G-V fuzzy matroid is proposed and some of its properties are obtained.

Keywords: Fuzzy sets, matroids, fuzzy matroids, fuzzy bases, tree structure

DOI: 10.3233/JIFS-172267

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 3, pp. 2457-2464, 2019