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Soft Computing

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23.05.2020 | Methodologies and Application

Shadowed sets with higher approximation regions

verfasst von: M. A. Ibrahim, T. O. William-West, A. F. D. Kana, D. Singh

Erschienen in: Soft Computing | Ausgabe 22/2020

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Abstract

This paper mainly discusses three points involving shadowed set approximation of a given fuzzy set. Firstly, a principle of uncertainty balance, which guarantees that preservation of uncertainty in the induced shadowed set is studied. Secondly, an alternative formulation for determining the optimum partition thresholds of shadowed sets is suggested. This formulation helps us study principle of uncertainty balance in shadowed sets with higher approximation regions. Thirdly, five-region shadowed set, which effectively deals with the issue of uncertainty balance, is introduced. We provide a closed-form formula for determining its optimum partition thresholds and generalize it to \(n (\ge 5)\)-region shadowed sets. Finally, some examples from synthetic and real dataset are provided to demonstrate the feasibility of the suggested methods.

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Titel: Shadowed sets with higher approximation regions
verfasst von: M. A. Ibrahim
T. O. William-West
A. F. D. Kana
D. Singh
Publikationsdatum: 23.05.2020
Verlag: Springer Berlin Heidelberg
Erschienen in: Soft Computing / Ausgabe 22/2020
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-020-04992-8

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