Openings and closures of fuzzy preorderings: Theoretical basics and applications to fuzzy rule-based systems

Ulrich Bodenhofer; Martine De Cock; Etienne E. Kerre

doi:10.1080/0308107031000135026

Openings and closures of fuzzy preorderings: Theoretical basics and applications to fuzzy rule-based systems

Ulrich Bodenhofer^*
, Martine De Cock
, Etienne E. Kerre

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

Publikation: Beitrag in Fachzeitschrift › Artikel › Begutachtung

56 Zitate (Scopus)

Abstract

The purpose of this paper is two-fold. Firstly, a general concept of closedness of fuzzy sets under fuzzy preorderings is proposed and investigated along with the corresponding opening and closure operators. Secondly, the practical impact of this notion is demonstrated by applying it to the analysis of ordering-based modifiers.

Originalsprache	Englisch
Seiten (von - bis)	343-360
Seitenumfang	18
Fachzeitschrift	International Journal of General Systems
Jahrgang	32
Ausgabenummer	4
DOIs	https://doi.org/10.1080/0308107031000135026
Publikationsstatus	Veröffentlicht - 2003
Extern publiziert	Ja

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10.1080/0308107031000135026

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title = "Openings and closures of fuzzy preorderings: Theoretical basics and applications to fuzzy rule-based systems",

abstract = "The purpose of this paper is two-fold. Firstly, a general concept of closedness of fuzzy sets under fuzzy preorderings is proposed and investigated along with the corresponding opening and closure operators. Secondly, the practical impact of this notion is demonstrated by applying it to the analysis of ordering-based modifiers.",

keywords = "Closedness, Fuzzy preordering, Fuzzy relation, Linguistic modifier",

author = "Ulrich Bodenhofer and \{De Cock\}, Martine and Kerre, \{Etienne E.\}",

note = "Funding Information: *Corresponding author. Fax: {\th}43-7236-3343-888. E-mail: [email protected] †This work was supported by the Kplus Competence Center Program which is funded by the Austrian Government, the Province of Upper Austria, and the Chamber of Commerce of Upper Austria. ‡This work was supported by the Fund for Scientific Research of Flanders (FWO). Parts of this work were done during a COST Action 15 short-term scientific mission of Martine De Cock at the Fuzzy Logic Laboratory Linz-Hagenberg in April 2000.",

year = "2003",

doi = "10.1080/0308107031000135026",

language = "English",

volume = "32",

pages = "343--360",

journal = "International Journal of General Systems",

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T1 - Openings and closures of fuzzy preorderings

T2 - Theoretical basics and applications to fuzzy rule-based systems

AU - Bodenhofer, Ulrich

AU - De Cock, Martine

AU - Kerre, Etienne E.

N1 - Funding Information: *Corresponding author. Fax: þ43-7236-3343-888. E-mail: [email protected] †This work was supported by the Kplus Competence Center Program which is funded by the Austrian Government, the Province of Upper Austria, and the Chamber of Commerce of Upper Austria. ‡This work was supported by the Fund for Scientific Research of Flanders (FWO). Parts of this work were done during a COST Action 15 short-term scientific mission of Martine De Cock at the Fuzzy Logic Laboratory Linz-Hagenberg in April 2000.

PY - 2003

Y1 - 2003

N2 - The purpose of this paper is two-fold. Firstly, a general concept of closedness of fuzzy sets under fuzzy preorderings is proposed and investigated along with the corresponding opening and closure operators. Secondly, the practical impact of this notion is demonstrated by applying it to the analysis of ordering-based modifiers.

AB - The purpose of this paper is two-fold. Firstly, a general concept of closedness of fuzzy sets under fuzzy preorderings is proposed and investigated along with the corresponding opening and closure operators. Secondly, the practical impact of this notion is demonstrated by applying it to the analysis of ordering-based modifiers.

KW - Closedness

KW - Fuzzy preordering

KW - Fuzzy relation

KW - Linguistic modifier

UR - https://www.scopus.com/pages/publications/5644293155

U2 - 10.1080/0308107031000135026

DO - 10.1080/0308107031000135026

M3 - Article

AN - SCOPUS:5644293155

SN - 0308-1079

VL - 32

SP - 343

EP - 360

JO - International Journal of General Systems

JF - International Journal of General Systems

IS - 4

ER -

Openings and closures of fuzzy preorderings: Theoretical basics and applications to fuzzy rule-based systems

Abstract

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