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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
Fu Gui SHİ
Pages
31–39
Publication Date
2022-10-18
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.
📊
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:Domain Parameters

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. G. (2022). 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/530659

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References (6)

  1. Gale, D. Optimal assignments in an ordered set: an application of matroid theory, J. Combinatoral 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)
  3. Huang H. -L. and Shi F.-G. L-fuzzy numbers and their properties, Information Sciences 178, 1141-1151, 2008
  4. Oxley J.G. Matroid theory (Oxford University Press, New York, 1992)
  5. Shi F. -G. A new approach to the fuzzification of matroids, Fuzzy Sets and Systems 160, 696-705, 2009
  6. Shi F.-G. (L,M)-fuzzy matroids, Fuzzy Sets and Systems 160, 2387-2400, 2009.