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Evolution of objects and concepts

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Abstract

The method for producing concepts within a given context was developed by R. Wille, and it is known under the name formal concept analysis. Every concept is fully determined by its extent and intent where extent is the set of all objects and intent the set of all attributes of this concept. We show in examples that in situations of real world this method need not be satisfactory because time dimension plays a crucial role in human thinking. Hence, it is necessary to consider tense operators on time depending objects or on the whole concepts. A formal method how to evaluate these operators is investigated in this paper.

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Acknowledgements

The authors are very grateful to the reviewer for his/her careful and meticulous reading of the paper.

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Correspondence to Ivan Chajda.

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Communicated by A. Di Nola.

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Research of the first (corresponding) author is supported by ÖAD, project CZ 04/2017, and by IGA, project PřF 2018 012. Research of the third author is supported by the project New approaches to aggregation operators in analysis and processing of data, Nr. 18-06915S by Czech Grant Agency (GAČR)

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Chajda, I., Kolařík, M. & Paseka, J. Evolution of objects and concepts. Soft Comput 23, 9449–9458 (2019). https://doi.org/10.1007/s00500-019-03784-z

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