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Journals / Hacettepe Journal of Mathematics and Statistics / 2026 / Volume: 39 Issue: 2

Bases of [0,1]-matroids

Chun-e. Huang
Fu-gui Shi
Pages
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Publication Date
2010-02-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

It is proved that there is a one-to-one correspondence between the family of closed perfect [0, 1]-matroids on E and the set of their fuzzy bases.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, a characterization of [0, 1]-matroids is given.
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Key Findings & Data:It is proved that a [0, 1]-matroid is equivalent to a hereditary fuzzy pre-matroid, and that a perfect [0, 1]-matroid is equivalent to a Goetschel-Voxman fuzzy matroid.
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Conclusion & Impact:It is proved that there is a one-to-one correspondence between the family of closed perfect [0, 1]-matroids on E and the set of their fuzzy bases.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Basis · 2000 AMS Classification: 03 E 70

Abstract

In this paper, a characterization of [0, 1]-matroids is given. It is proved that a [0, 1]-matroid is equivalent to a hereditary fuzzy pre-matroid, and that a perfect [0, 1]-matroid is equivalent to a Goetschel-Voxman fuzzy matroid. It is proved that there is a one-to-one correspondence between the family of closed perfect [0, 1]-matroids on E and the set of their fuzzy bases.

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Cite This Article

Huang, C., Shi, F. (2010). Bases of [0,1]-matroids. Hacettepe Journal of Mathematics and Statistics, Volume: 39 Issue: 2. https://ajindex.com/articles/1403709

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References (7)

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