Affiliations: [a] School of Mathematics and Statistics, Xidian University, Xi’an, China
| [b] School of Information and Technology, Northwest University, Xi’an, China
Correspondence:
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Corresponding author. Huangjian Yi, School of Information and Technology, Northwest University, 710069 Xi’an, China. E-mail: [email protected].
Abstract: In this paper, we will define intuitionistic fuzzy matroid and study their properties. First, we analyse the two approaches to fuzzification of matroids and decide to use an indirect approach. After some preliminaries, we define an intuitionistic fuzzy matroid as a prefect intuitionistic fuzzy pre-matroid. Second, we study two pair of classical operators imposed on intuitionistic fuzzy matroids. Finally, we induce a G-V fuzzy matroid from a given intuitionistic fuzzy matroid and study the relationship of H fuzzy matroids and intuitionistic fuzzy matroids. Besides, we introduce an approach to construction of G-V fuzzy matroids and point out the connection of fuzzy matroids and fuzzy rough set models.
