Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy matroids and a greedy algorithm
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Fuzzy Sets and Systems
Spanning properties for fuzzy matroids
Fuzzy Sets and Systems
Fuzzy matroid sums and a greedy algorithm
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
Closure axioms for a class of fuzzy matroids and co-towers of matroids
Fuzzy Sets and Systems
Fuzzy Sets and Systems
A new approach to the fuzzification of matroids
Fuzzy Sets and Systems
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
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This paper represents an attempt to define a set of bases which can determine a closed regular fuzzy matroid, and to study some properties of section fuzzy matroids, elementary section fuzzy matroids and elementary fuzzy matroids. Axioms for bases of both elementary fuzzy matroids and closed regular fuzzy matroids are presented, respectively. It is proved that the set of bases of all closed regular fuzzy matroids on a set equipped with a suitable order is order-isomorphic to the set of systems of independent sets of all closed regular fuzzy matroids on this set, equipped with the inclusion order.