Üst Yaklaşım Sayılarının Öncül Komşuluklarla Elde Edilmesi

Öz

Kaba küme teorisi belirsizliğe matematiksel bir yaklaşım olarak düşünülmüş; yararlı ve etkili bir araç olarak çeşitli bilim alanlarında kullanılmaktadır. Lineer cebirde yer alan lineer bağımlılık, lineer bağımsızlık, taban, rank gibi temel kavramlarının genelleştirilmesi Matroid teorisiyle olanaklı olmuştur. Bu çalışmada  bir bağıntıdan oluşturulan matroid için öncül komşuluklara dayalı üst yaklaşım sayısal fonksiyonu tanımlanarak genelleştirilmiş kaba kümelerle ilişkileri incelenmiştir.

Anahtar Kelimeler

• Kaba küme,Matroid,Alt yaklaşım,Üst yaklaşım

Obtaining Upper Approximation Numbers with Predecessor Neighborhoods

Öz

Rough set theory is considered as a mathematical approach to uncertainty as a useful and effective tool in various fields of science. The generalization of the basic concepts such as linear dependence, linear independence, base and rank in linear algebra is possible by matroid theory. In this study, the upper approximation number function based on predecessor neighborhoods will be defined for the matroid generated from a relation and generalized rough sets associations will be examined.

Anahtar Kelimeler

• Rough set,Matroid,Lower approximation,Upper approximation

Kaynakça

1. Oxley, J. (1992). Matroid Theory, Oxford University Press, New York.
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8. Zhu, W. (2009). Relationship between generalized rough sets based on binary relation and covering, Information Sciences 179: 210–225.

9. Zhu, W., Wang, S. (2011). Matroidal approaches to generalized rough sets based on relations, International Journal of Machine Learning and Cybernetics 2: 273– 279.