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

Rank functions for closed and perfect [0, 1]- matroids

Sayfa
31–39
Yayın Tarihi
2022-10-18
DOI
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Moreover, we prove that a closed and perfect [0, 1]-matroid can be characterized by means of its [0, 1]-fuzzy rank function.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper we present the notions of perfect [0, 1]-matroid and closed [0, 1]-matroid, and investigate some of their basic properties.
📊
Temel Bulgular & Veri: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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Sonuç & Katkı:Moreover, we prove that a closed and perfect [0, 1]-matroid can be characterized by means of its [0, 1]-fuzzy rank function.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

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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Kaynakça (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.