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

U. Bodenhofer

doi:10.1007/s00500-002-0208-4

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

U. Bodenhofer^*

^*Korrespondierende/r Autor/-in für diese Arbeit

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

36 Zitate (Scopus)

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.

Originalsprache	Englisch
Seiten (von - bis)	220-227
Seitenumfang	8
Fachzeitschrift	Soft Computing
Jahrgang	7
Ausgabenummer	4
DOIs	https://doi.org/10.1007/s00500-002-0208-4
Publikationsstatus	Veröffentlicht - Feb. 2003
Extern publiziert	Ja

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10.1007/s00500-002-0208-4

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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.",

keywords = "Closure, Fuzzy mathematical morphology, Fuzzy preordering, Fuzzy relation, Opening",

author = "U. Bodenhofer",

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doi = "10.1007/s00500-002-0208-4",

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AB - 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.

KW - Closure

KW - Fuzzy mathematical morphology

KW - Fuzzy preordering

KW - Fuzzy relation

KW - Opening

UR - https://www.scopus.com/pages/publications/10844283477

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DO - 10.1007/s00500-002-0208-4

M3 - Article

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JO - Soft Computing

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

Abstract

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