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Journals / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 Sayı: 1

Rank Functions for Closed and Perfect [0, 1]-Matroids

Xiu XİN
F.-g. SHİ
Pages
31–39
Publication Date
2010-01-01
DOI
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⚡ TL;DR(Too Long; Didn't Read)

Moreover, we prove that a closed and perfect [0, 1]-matroid can be characterized by means of its [0, 1]-fuzzy rank function.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we present the notions of perfect [0, 1]-matroid and closed [0, 1]-matroid, and investigate some of their basic properties.
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Key Findings & Data:In this paper we present the notions of perfect [0, 1]-matroid and closed [0, 1]-matroid, and investigate some of their basic properties.
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Conclusion & Impact:Moreover, we prove that a closed and perfect [0, 1]-matroid can be characterized by means of its [0, 1]-fuzzy rank function.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Matroids · L-matroids · 2000 AMS Classification: 03 E 70

Abstract

In this paper we present the notions of perfect [0, 1]-matroid and closed [0, 1]-matroid, and investigate some of their basic properties. Moreover, we prove that a closed and perfect [0, 1]-matroid can be characterized by means of its [0, 1]-fuzzy rank function.

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Cite This Article

XİN, X., SHİ, F. (2010). Rank Functions for Closed and Perfect [0, 1]-Matroids. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 Sayı: 1, 31–39. https://ajindex.com/articles/929291

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References (2)

  1. Gale, D. Optimal assignments in an ordered set: an application of matroid theory, J. Com- binatoral Theory 4, 176–180, 1968.
  2. Gierz, G. et al. Continuous Lattices and Domains (Encyclopedia of Mathematics and its Applications 93, Cambridge University Press, Cambridge, 2003). Huang H. -L. and Shi F.-G. L-fuzzy numbers and their properties, Information Sciences 178, 1141–1151, 2008. Oxley J. G. Matroid theory (Oxford University Press, New York, 1992). Shi F. -G. A new approach to the fuzzification of matroids, Fuzzy Sets and Systems 160, 696–705, 2009. Shi F. -G. (L, M )-fuzzy matroids, Fuzzy Sets and Systems 160, 2387–2400, 2009.