Author(s)

Steven J. Tedford^*

Department of Mathematics and Computer Science, Misericordia University, Dallas, USA.

Fuzzy greedoids were recently introduced as a fuzzy set generalization of (crisp) greedoids. We characterize fuzzy languages which define fuzzy greedoids, give necessary properties and sufficient properties of the fuzzy rank function of a fuzzy greedoid, give a characterization of the rank function for a weighted greedoid, and discuss the rank closure of a fuzzy greedoid.

Fuzzy System Models, Greedoids, Fuzzy Rank Function

Tedford, S. (2015) Rank Functions of Fuzzy Greedoids. Open Journal of Discrete Mathematics, 5, 65-73. doi: 10.4236/ojdm.2015.54006.