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Extensional subobjects in categories of Ω-fuzzy sets

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Abstract

Two categories Set(Ω) and SetF(Ω) of fuzzy sets over an MV-algebra Ω are investigated. Full subcategories of these categories are introduced consisting of objects (sub(A, δ), σ), where sub(A, δ) is a subset of all extensional subobjects of an object (A, δ). It is proved that all these subcategories are quasi-reflective subcategories in the corresponding categories.

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Authors and Affiliations

  1. Department of Mathematics and Institute for Research and Applications of Fuzzy Modeling, University of Ostrava, 30. dubna 22, 701 03, Ostrava 1, Czech Republic

    Jiří Močkoř

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  1. Jiří Močkoř
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Supported by MSM6198898701, grant GAČR 201/04/0381/2 and grant 1M0572.

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Močkoř, J. Extensional subobjects in categories of Ω-fuzzy sets. Czech Math J 57, 631–645 (2007). https://doi.org/10.1007/s10587-007-0102-4

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  • DOI: https://doi.org/10.1007/s10587-007-0102-4

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