Journal of Jilin University Science Edition ›› 2020, Vol. 58 ›› Issue (2): 239-250.

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Fuzzy Circuit Axioms of Closed G-V Fuzzy Matroids

WU Deyin, YANG Gaojin   

  1. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China
  • Received:2019-02-25 Online:2020-03-26 Published:2020-03-25
  • Contact: WU Deyin E-mail:wdy@cqu.edu.cn

Abstract: Using the method similar to the circuit axioms of matroids, we discussed fuzzy circuit axioms of closed GV fuzzy matroids. 
Firstly, we gave some  properties of fuzzy circuits of G-V fuzzy matroids. Secondly, using these properties, we discussed how to use elementary fuzzy circuit sets to determine G-V fuzzy matroids. Finally, we proposed and proved a fuzzy circuit axiom of closed G-V fuzzy matroids. According to  this  axiom,  a collection of elementary fuzzy sets, a finite number sequence and a mapping of fuzzy sets could  uniquely determine a closed G-V fuzzy matroid under certain conditions.

Key words: matroid, circuit axiom, fuzzy matroid, circuit function, circuit interval, generalized circuit function, circuit range, fuzzy circuit axiom

CLC Number: 

  • O157