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Soft Computing

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24.03.2017 | Focus

Spaces with fuzzy partitions and fuzzy transform

Erschienen in: Soft Computing | Ausgabe 13/2017

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A category of spaces with fuzzy partitions is introduced, which could serve as a ground category for F-transform constructions. Axioms of fuzzy transformations systems are defined, and it is proved that the upper F-transform is the only fuzzy transformation satisfying these axioms. Relationships among the category of fuzzy partitions, categories of Kuratowski closure and interior operators and the category of fuzzy preorder relations are investigated.

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Titel: Spaces with fuzzy partitions and fuzzy transform
Publikationsdatum: 24.03.2017
Erschienen in: Soft Computing / Ausgabe 13/2017
Print ISSN: 1432-7643
Elektronische ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-017-2541-7

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