Bases axioms and circuits axioms for fuzzifying matroids

Authors:
Wei Yao;Fu-Gui Shi
Affiliations:
Department of Mathematics, Shaanxi Normal University, Xi'an 710062, PR China and Department of Mathematics, Hebei University of Science and Technology, 050018 Shijiazhuang, PR China;Department of Mathematics, Beijing Institute of Technology, 100081 Beijing, PR China
Venue:
Fuzzy Sets and Systems
Year:
2010

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Abstract

Abstract: This paper shows that weighted graphs are examples of fuzzifying matroids. Axioms of bases and that of circuits are established for fuzzifying matroids.