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A unified framework of opening and closure operators with respect to arbitrary fuzzy relations

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Abstract

 This paper is devoted to a general concept of openness and closedness with respect to arbitrary fuzzy relations – along with appropriate opening and closure operators. It is shown that the proposed framework unifies existing concepts, in particular, the one for fuzzy preorderings as well as the triangular norm-based approach to fuzzy mathematical morphology.

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Authors and Affiliations

  1. Software Competence Center Hagenberg, Hauptstrasse 99, A-4232 Hagenberg, Austria e-mail: ulrich.bodenhofer@scch.at, , , , , , AT

    U. Bodenhofer

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  1. U. Bodenhofer
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The author acknowledges support of the K plus Competence Center Program which is funded by the Austrian Government, the Province of Upper Austria, and the Chamber of Commerce of Upper Austria.

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Bodenhofer, U. A unified framework of opening and closure operators with respect to arbitrary fuzzy relations. Soft Computing 7, 220–227 (2003). https://doi.org/10.1007/s00500-002-0208-4

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  • DOI: https://doi.org/10.1007/s00500-002-0208-4

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