An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum

Arthur Seibel; Josef Schlattmann

doi:10.5220/0005026500890094

An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum

Arthur Seibel^*
, Josef Schlattmann

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

Technische Universität Hamburg

Publikation: Beiträge in Sammelwerken › Aufsätze in Konferenzbänden › Forschung › Begutachtung

Abstract

This paper presents a novel analytical approach to evaluating continuous, bivariate functions of independent fuzzy numbers with one local extremum. The approach is based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.

Originalsprache	Englisch
Titel	FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications
Redakteure/-innen	Antonio Dourado, Jose M. Cadenas, Joaquim Filipe, Joaquim Filipe
Seitenumfang	6
Erscheinungsort	Rome
Herausgeber (Verlag)	INSTICC Press
Erscheinungsdatum	01.01.2014
Seiten	89-94
ISBN (elektronisch)	9789897580536
DOIs	https://doi.org/10.5220/0005026500890094
Publikationsstatus	Erschienen - 01.01.2014
Extern publiziert	Ja
Veranstaltung	Proceedings of the International Conference on Fuzzy Computation Theory and Applications, part of IJCCI 2014 - Rome, Italien Dauer: 22.10.2014 → 24.10.2014 http://www.wikicfp.com/cfp/servlet/event.showcfp?eventid=37965

Zugriff auf Dokument

10.5220/0005026500890094Lizenz: CC BY-NC-ND

Dieses zitieren

Seibel, A., & Schlattmann, J. (2014). An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum. in A. Dourado, J. M. Cadenas, J. Filipe, & J. Filipe (Hrsg.), FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications (S. 89-94). (FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications; Band 0IJCCI). INSTICC Press. https://doi.org/10.5220/0005026500890094

Seibel, Arthur ; Schlattmann, Josef. / An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum. FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications. Hrsg. / Antonio Dourado ; Jose M. Cadenas ; Joaquim Filipe ; Joaquim Filipe. Rome : INSTICC Press, 2014. S. 89-94 (FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications).

@inbook{8aa29f38ede54eeb9de0515152444ee2,

title = "An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum",

abstract = "This paper presents a novel analytical approach to evaluating continuous, bivariate functions of independent fuzzy numbers with one local extremum. The approach is based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.",

keywords = "Analytical fuzzy calculus, Bivariate functions, Fuzzy numbers, Parameter uncertainties",

author = "Arthur Seibel and Josef Schlattmann",

year = "2014",

month = jan,

day = "1",

doi = "10.5220/0005026500890094",

language = "English",

series = "FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications",

publisher = "INSTICC Press",

pages = "89--94",

editor = "Antonio Dourado and Cadenas, \{Jose M.\} and Joaquim Filipe and Joaquim Filipe",

booktitle = "FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications",

address = "Portugal",

note = "Proceedings of the International Conference on Fuzzy Computation Theory and Applications, part of IJCCI 2014, FCTA 2014 ; Conference date: 22-10-2014 Through 24-10-2014",

url = "http://www.wikicfp.com/cfp/servlet/event.showcfp?eventid=37965",

}

Seibel, A & Schlattmann, J 2014, An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum. in A Dourado, JM Cadenas, J Filipe & J Filipe (Hrsg.), FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications. FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications, Bd. 0IJCCI, INSTICC Press, Rome, S. 89-94, Proceedings of the International Conference on Fuzzy Computation Theory and Applications, part of IJCCI 2014, Rome, Italien, 22.10.14. https://doi.org/10.5220/0005026500890094

An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum. / Seibel, Arthur; Schlattmann, Josef.
FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications. Hrsg. / Antonio Dourado; Jose M. Cadenas; Joaquim Filipe; Joaquim Filipe. Rome: INSTICC Press, 2014. S. 89-94 (FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications; Band 0IJCCI).

Publikation: Beiträge in Sammelwerken › Aufsätze in Konferenzbänden › Forschung › Begutachtung

TY - CHAP

T1 - An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum

AU - Seibel, Arthur

AU - Schlattmann, Josef

PY - 2014/1/1

Y1 - 2014/1/1

N2 - This paper presents a novel analytical approach to evaluating continuous, bivariate functions of independent fuzzy numbers with one local extremum. The approach is based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.

AB - This paper presents a novel analytical approach to evaluating continuous, bivariate functions of independent fuzzy numbers with one local extremum. The approach is based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.

KW - Analytical fuzzy calculus

KW - Bivariate functions

KW - Fuzzy numbers

KW - Parameter uncertainties

UR - https://www.scopus.com/pages/publications/84908701613

UR - https://www.mendeley.com/catalogue/b27fad81-bea3-3856-8639-18de99b09f08/

U2 - 10.5220/0005026500890094

DO - 10.5220/0005026500890094

M3 - Article in conference proceedings

AN - SCOPUS:84908701613

T3 - FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications

SP - 89

EP - 94

BT - FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications

A2 - Dourado, Antonio

A2 - Cadenas, Jose M.

A2 - Filipe, Joaquim

PB - INSTICC Press

CY - Rome

T2 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications, part of IJCCI 2014

Y2 - 22 October 2014 through 24 October 2014

ER -

Seibel A, Schlattmann J. An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum. in Dourado A, Cadenas JM, Filipe J, Filipe J, Hrsg., FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications. Rome: INSTICC Press. 2014. S. 89-94. (FCTA 2014 - Proceedings of the International Conference on Fuzzy Computation Theory and Applications). doi: 10.5220/0005026500890094

An analytical approach to evaluating bivariate functions of fuzzy numbers with one local extremum

Abstract

Zugriff auf Dokument

Fingerprint

Dieses zitieren