Rank Functions of Fuzzy Greedoids

Steven J. Tedford^*

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

DOI: 10.4236/ojdm.2015.54006                

Abstract

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.

Keywords

Fuzzy System Models, Greedoids, Fuzzy Rank Function

Conflicts of Interest

The authors declare no conflicts of interest.

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