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https://open.uns.ac.rs/handle/123456789/11361
Title: | On Goetschel and Voxman fuzzy matroids | Authors: | Novak L. | Issue Date: | 1-Feb-2001 | Journal: | Fuzzy Sets and Systems | Abstract: | The concepts of fuzzy pre-matroid and hereditary fuzzy pre-matroid are introduced and investigated. The property "to be perfect" for hereditary fuzzy pre-matroids is also considered. It is shown that Goetschel and Voxman fuzzy matroids coincide with perfect hereditary fuzzy pre-matroids. It is also shown that Goetschel and Voxman fuzzy matroids can be described via three fuzzy axioms, two of which are direct fuzzy counter-parts of the crisp matroid axioms in terms of elementary fuzzy sets and the third one is a decomposition axiom, also in terms of elementary fuzzy sets. © 2001 Elsevier Science B.V. | URI: | https://open.uns.ac.rs/handle/123456789/11361 | ISSN: | 01650114 | DOI: | 10.1016/S0165-0114(98)00424-2 |
Appears in Collections: | Naučne i umetničke publikacije |
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