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

Yıl 2010, Cilt: 39 Sayı: 1, 31 - 39, 01.01.2010

Xiu Xin F.-g. Shi

Öz

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

Öz

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. 

Anahtar Kelimeler

Matroids, L-matroids, 2000 AMS Classification: 03 E 70

Kaynakça

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• 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.