A generalization of G-V fuzzy matroids based on intuitionistic fuzzy sets

摘要

The purpose of this paper is to study matroids on intuitionistic fuzzy sets, so as to generalize G - V fuzzy matroids. The ranking, union and intersection between two intuitionistic fuzzy sets are firstly defined by using the similarity function h and the accuracy function H of the intuitionistic fuzzy value. Then a G - V intuitionistic fuzzy matroid which can be regarded as an extension of G - V fuzzy matroids is proposed. Particularly, the induced matroid sequence and the rank function of a G - V intuitionistic fuzzy matroid and their properties are studied.