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Journals / Mehmet Akif Ersoy Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2018 / Cilt: 9 - Sayı: 2

Obtaining Upper Approximation Numbers with Predecessor Neighborhoods

Üst Yaklaşım Sayılarının Öncül Komşuluklarla Elde Edilmesi

Sadık BAYHAN
Nazlı Tuğçe BAYTAROĞLU
Pages
151–156
Publication Date
2018-06-12
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Rough set theory is considered as a mathematical approach to uncertainty as a useful and effective tool in various fields of science.
📊
Key Findings & Data:The generalization of the basic concepts such as linear dependence, linear independence, base and rank in linear algebra is possible by matroid theory.
💡
Conclusion & Impact: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.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Kaba küme · Matroid · Alt yaklaşım

Abstract

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.

Özet

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.

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Cite This Article

BAYHAN, S., BAYTAROĞLU, N. T. (2018). Obtaining Upper Approximation Numbers with Predecessor Neighborhoods. Mehmet Akif Ersoy Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 9 - Sayı: 2, 151–156. https://ajindex.com/articles/790218

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References (11)

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