El-Sharkasy, M. M.; Altwme, Fatma Some new types of approximations via minimal structure. (English) Zbl 1433.54001 J. Egypt. Math. Soc. 26, 287-394 (2018). Summary: In this paper, we use the notions of a minimal structure approximation space (short MSAS) and the notion of near open sets to introduce a new approximation of uncertain sets as a mathematical tool to modify the approximations. Relationships between these types are established via proof and counter examples. Also, some basic concepts of near approximations set are investigated and studied the relations between these different types of sets in MSAS. This set is a specific importance to help with the modifications of an approximation space via adding new concepts and facts. Finally, we use this concept to introduce the definitions of near lower approximation, near upper approximation, near boundary region, near rough and near exact sets and study some of the properties of this notion. MSC: 54A05 Topological spaces and generalizations (closure spaces, etc.) 54C55 Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) 54E05 Proximity structures and generalizations Keywords:minimal structure; topological space; near open set; near closed set; rough set and approximation space Software:Flavia PDFBibTeX XMLCite \textit{M. M. El-Sharkasy} and \textit{F. Altwme}, J. Egypt. Math. Soc. 26, 287--394 (2018; Zbl 1433.54001) Full Text: DOI References: [1] Z. Wang, Huale Li1, Ying Zhu, TianFang Xu, Review of Plant Identification Based on Image Processing, Arch Computat Methods Eng, CIMNE, Barcelona, Spain, DOI 10.1007/s11831-016-9181-4, (2016). · Zbl 1375.68100 [2] H. Goëau, Bonnet, P., Joly, A., Boujemaa, N., Barthelemy, D., Molino, J., Birnbaum, P., Mouysset, E., Picard, M.: The CLEF 2011 plant image classification task. In: CLEF 2011 Working Notes, Amsterdam, (2011). [3] V. 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