makufebed Mehmet Akif Ersoy Üniversitesi Fen Bilimleri Enstitüsü Dergisi 1309-2243 Burdur Mehmet Akif Ersoy University 10.29048/makufebed.416745 Engineering Mühendislik Üst Yaklaşım Sayılarının Öncül Komşuluklarla Elde Edilmesi Obtaining Upper Approximation Numbers with Predecessor Neighborhoods Bayhan Sadık Mehmet Akif Ersoy University Turkey Baytaroğlu Nazlı Tuğçe Mehmet Akif Ersoy University Turkey 06 12 2018 9 2 151 156 04 18 2018 06 01 2018 Copyright © 2010, The Journal of Graduate School of Natural and Applied Sciences of Mehmet Akif Ersoy University 2010 The Journal of Graduate School of Natural and Applied Sciences of Mehmet Akif Ersoy University

Kaba küme teorisi belirsizliğe matematiksel biryaklaşım olarak düşünülmüş; yararlı ve etkili bir araç olarak çeşitli bilimalanlarında kullanılmaktadır. Lineer cebirde yer alan lineer bağımlılık, lineerbağımsızlık, taban, rank gibi temel kavramlarının genelleştirilmesi Matroidteorisiyle olanaklı olmuştur. Bu çalışmadabir bağıntıdan oluşturulan matroid için öncül komşuluklara dayalı üstyaklaşım sayısal fonksiyonu tanımlanarak genelleştirilmiş kaba kümelerle ilişkileriincelenmiştir.

Rough set theory is considered as a mathematical approach to uncertaintyas a useful and effective tool in various fields of science. The generalizationof the basic concepts such as linear dependence, linear independence, base andrank in linear algebra is possible by matroid theory. In this study, the upperapproximation number function based on predecessor neighborhoods will bedefined for the matroid generated from a relation and generalized rough setsassociations will be examined.

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