Abstract :
In 1988, Geotschel and Voxman [1] introduced and explored the concept of fuzzy matroids via the notion of fuzzy independent sets. In 2013, Al-Hawary [2] introduced fuzzy matroids via the notion of fuzzy flats. In this paper, we introduce the notion of fuzzy closure matroids, a new class of fuzzy matroids. We study properties of this class and classify it. In addition, the class of fuzzy modular matroids is defined and characterized.
Keywords :
Fuzzy matroid , fuzzy flat , fuzzy closure , fuzzy strong map , fuzzy hesitant map
