Fuzzy Sets and Systems
Fuzzy matroids and a greedy algorithm
Fuzzy Sets and Systems
A new approach for fuzzy topology (I)
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Theory of topological molecular lattices
Fuzzy Sets and Systems
Fuzzy Sets and Systems
A comment on “Bases of fuzzy matroids” Fuzzy Sets and Systems 31 (1989) 253–261
Fuzzy Sets and Systems
On fuzzy independence set systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
L-fuzzy numbers and their properties
Information Sciences: an International Journal
A possibilistic approach to combinatorial optimization problems on fuzzy-valued matroids
WILF'05 Proceedings of the 6th international conference on Fuzzy Logic and Applications
Efficient methods for computing optimality degrees of elements in fuzzy weighted matroids
WILF'05 Proceedings of the 6th international conference on Fuzzy Logic and Applications
Fuzzy Sets and Systems
Categories of bi-fuzzy pre-matroids
Computers & Mathematics with Applications
Axioms for bases of closed regular fuzzy matroids
Fuzzy Sets and Systems
Connectedness of refined Goetschel--Voxman fuzzy matroids
Fuzzy Sets and Systems
Bases axioms and circuits axioms for fuzzifying matroids
Fuzzy Sets and Systems
Characterizations and applications of M-fuzzifying matroids
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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In this paper, the concept of closed fuzzy pre-matroids is generalized to L-fuzzy set theory when L is a complete lattice. It is also called an L-fuzzifying matroid. In the definition of L-fuzzifying matroids, each subset can be regarded as an independent set to some degree. When L is completely distributive, an L-fuzzifying matroid can be characterized by means of its L-fuzzifying rank function. An L-fuzzifying matroid and its L-fuzzifying rank function are one-to-one corresponding.