Abstract :
In this paper, as an application of fuzzy matroids, the fuzzifying
greedy algorithm is proposed and an achievable example is given. Basis axioms
and circuit axioms of fuzzifying matroids, which are the semantic extension
for the basis axioms and circuit axioms of crisp matroids respectively, are
presented. It is proved that a fuzzifying matroid is equivalent to a mapping
which satises the basis axioms or circuit axioms.
Keywords :
Fuzzifying circuit axiom , Fuzzifying matroid , Fuzzifying base-map , Fuzzifying basis axiom , Fuzzifying circuit-map