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

Year 2010, Volume: 39 Issue: 1, 31 - 39, 01.01.2010

Xiu Xin F.-g. Shi

Abstract

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

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. 

Keywords

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

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