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New Insights into Rough Set Theory: Transitive Neighborhoods and Approximations     
Yazarlar
Dr. Öğr. Üyesi Sibel DEMİRALP Dr. Öğr. Üyesi Sibel DEMİRALP
Kastamonu Üniversitesi, Türkiye
Özet
Rough set theory is a methodology that defines the definite or probable membership of an element for exploring data with uncertainty and incompleteness. It classifies data sets using lower and upper approximations to model uncertainty and missing information. To contribute to this goal, this study presents a newer approach to the concept of rough sets by introducing a new type of neighborhood called j-transitive neighborhood or j-TN. Some of the basic properties of j-transitive neighborhoods are studied. Also, approximations are obtained through j-TN, and the relationships between them are investigated. It is proven that these approaches provide almost all the properties provided by the approaches given by Pawlak. This study also defines the concepts of lower and upper approximations from the topological view and compares them with some existing topological structures in the literature. In addition, the applicability of the j-TN framework is demonstrated in a medical scenario. The approach proposed here represents a new view in the design of rough set theory and its practical applications to develop the appropriate strategy to handle uncertainty while performing data analysis.
Anahtar Kelimeler
infectious disease | j-neighborhood | j-transitive neighborhood | lower and upper approximation | rough set
Makale Türü Özgün Makale
Makale Alt Türü SSCI, AHCI, SCI, SCI-Exp dergilerinde yayımlanan tam makale
Dergi Adı SYMMETRY-BASEL
Dergi ISSN 2073-8994
Dergi Tarandığı Indeksler SCI-Expanded
Dergi Grubu Q2
Makale Dili İngilizce
Basım Tarihi 09-2024
Cilt No 16
Sayı 9
Doi Numarası 10.3390/sym16091237
Makale Linki https://www.mdpi.com/2073-8994/16/9/1237
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
WoS 1
SCOPUS 1
New Insights into Rough Set Theory: Transitive Neighborhoods and Approximations

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