BASES AND CIRCUITS OF FUZZIFYING MATROIDS
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Abstract:
In this paper, as an application of fuzzy matroids, the fuzzifying greedy algorithm is proposed and an achievableexample is given. Basis axioms and circuit axioms of fuzzifying matroids, which are the semantic extension for thebasis axioms and circuit axioms of crisp matroids respectively, are presented. It is proved that a fuzzifying matroidis equivalent to a mapping which satisfies the basis axioms or circuit axioms.
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Journal title
volume 15 issue 2
pages 41- 52
publication date 2018-04-29
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