Titlebook: Rough Sets; International Joint Andrea Campagner,Oliver Urs Lenz,JingTao Yao Conference proceedings 2023 The Editor(s) (if applicable) and

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An Acceleration Method for Attribute Reduction Based on Attribute Synthesisrough set model has been widely used in attribute reduction. In this model, the determination of sample neighborhood relies on the calculation of distance between samples, which need to traverse all attributes of samples. This way will result in huge time consumption for high-dimensional data becaus

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Hexagons of Opposition in Linguistic Three-Way Decisionspond to three types of decisions on their objects: acceptance, rejection, and abstention or non-commitment. A linguistic approach for identifying the three regions relies on specific evaluative linguistic expressions, such as “very big”, “roughly small”, “not small”, “medium”, and so forth..In this

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Two-Sorted Modal Logic for Formal and Rough Conceptsept analysis (FCA). These logics are interpreted in two-sorted bidirectional frames, which are essentially formal contexts with converse relations. The logic . contains ordinary necessity and possibility modalities and can represent rough set-based concepts. On the other hand, the logic . has window

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Algebraic, Topological, and Mereological Foundations of Existential Granulesmereological perspectives. Existential granules are those that determine themselves initially, and interact with their environment subsequently. Examples of the concept, such as those of granular balls, though inadequately defined, algorithmically established, and insufficiently theorized in earlier

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Pawlak, Belnap and the Magical Number Seveneness. We show that a general class of many-valued logics useful for reasoning about data emerges from this context. All these logics can be obtained from a very general seven-valued logic which, interestingly enough, corresponds to a reasoning system developed by Jaina philosophers four centuries B