Affiliations: School of Science/Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing, China
Correspondence:
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Corresponding author. Yonghong Li, School of Science/Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecommunications, Chongqing, Chongqing 400065, China. E-mail: [email protected].
Abstract: 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.
Keywords: Fuzzy set, intuitionistic fuzzy set, matroid, fuzzy matroid, G - V intuitionistic fuzzy matroid, rank function
