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Logic of typical and atypical instances of a concept -- a mathematical model - MaRDI portal

Logic of typical and atypical instances of a concept -- a mathematical model (Q2306642)

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Logic of typical and atypical instances of a concept -- a mathematical model
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    Logic of typical and atypical instances of a concept -- a mathematical model (English)
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    24 March 2020
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    Summary: In this paper, we give a mathematical model of the logic of determination of objects (LDO) based on preordered sets, and a mathematical model of the logic of typical and atypical instances (LTA). We prove that LTA is an extension of LDO. It can manipulate several types of ``exceptions''. Finally, we show that the structural part of LTA can be modeled by a quasi topology structure (QTS).
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    logic of typical and atypical instances (LTA)
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    logic of determination of objects (LDO)
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    quasi topology structure (QTS)
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    concept
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    object
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    typical object
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    atypical object
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    lattice
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    filter
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    ideal
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