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Dergiler / Hacettepe Journal of Mathematics and Statistics / 2010 / Cilt: 39 - Sayı: 2

Based of [0, 1]-matroids

Fu Gui SHI
Chun E. HUANG
Sayfa
233–240
Yayın Tarihi
2022-10-18
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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 Maddede Bu Makale

🎯
Amaç & Hipotez:In this paper, a characterization of [0, 1]-matroids is given.
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Temel Bulgular & Veri: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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Sonuç & Katkı: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.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

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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Bu Makaleye Atıf Yap

SHI, F. G., HUANG, C. E. (2022). Based of [0, 1]-matroids. Hacettepe Journal of Mathematics and Statistics, Cilt: 39 - Sayı: 2, 233–240. https://ajindex.com/articles/530662

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Kaynakça (11)

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  10. Xin, X. and Shi, F. -G. Rank functions for closed and perfect [0, 1]-matroids, Hacettepe J. Math. Stat. 39 (1), 31–39, 2010
  11. Zadeh, L.A. A computational approach to fuzzy quantifiers in natural languages, Comput. Math. Appl. 9, 149–184, 1983.