Result: Efficient curve fitting: An application of multiobjective programming

Title:
Efficient curve fitting: An application of multiobjective programming
Authors:
POURKARIMI, L, YAGHOOBI, M. A, MASHINCHI, M
Source:
Applied mathematical modelling. 35(1):346-365
Publisher Information:
Kidlington: Elsevier, 2011.
Publication Year:
2011
Physical Description:
print, 19 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Civil engineering, Génie civil, Mathematics, Mathématiques, Mechanics acoustics, Mécanique et acoustique, Sciences exactes et technologie, Exact sciences and technology, Sciences appliquees, Applied sciences, Recherche operationnelle. Gestion, Operational research. Management science, Recherche opérationnelle et modèles formalisés de gestion, Operational research and scientific management, Programmation mathématique, Mathematical programming, Théorie de la décision. Théorie de l'utilité, Decision theory. Utility theory, Ajustement courbe, Curve fitting, Ajustamiento curva, Ajustement modèle, Model matching, Ajustamiento modelo, Courbure, Curvature, Curvatura, Fonction polynomiale, Polynomial function, Función polinomial, Interpolation polynomiale, Polynomial interpolation, Interpolación polinomial, Prise de décision, Decision making, Toma decision, Programmation linéaire, Linear programming, Programación lineal, Programmation multiobjectif, Multiobjective programming, Programación multiobjetivo, Préférence, Preference, Preferencia, Système aide décision, Decision support system, Sistema ayuda decisíon, Efficiency, Maximal efficient face, Multiobjective linear programming, Smoothness
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran, Islamic Republic of
Department of Statistics, Faculty of Mathematics and Computer Science, Shahid Bahonar University of Kerman, Kerman, Iran, Islamic Republic of
ISSN:
0307-904X
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=23751219
Rights:
Copyright 2015 INIST-CNRS
CC BY 4.0
Sauf mention contraire ci-dessus, le contenu de cette notice bibliographique peut être utilisé dans le cadre d’une licence CC BY 4.0 Inist-CNRS / Unless otherwise stated above, the content of this bibliographic record may be used under a CC BY 4.0 licence by Inist-CNRS / A menos que se haya señalado antes, el contenido de este registro bibliográfico puede ser utilizado al amparo de una licencia CC BY 4.0 Inist-CNRS
Notes:
Operational research. Management
Accession Number:
edscal.23751219
Database:
PASCAL Archive

Further Information

Curve fitting is an interesting and important subject in mathematics and engineering. It has been studied extensively and a number of approaches, mostly based on polynomials and piecewise polynomials, have been employed. In the usual setting, some data points are given and one wants to find a polynomial function with the minimum violations measured by a norm in the given data points. In these approaches, norms are applied to aggregate all violations as a scalar. In this paper, the polynomial curve fitting problem is considered from the viewpoint of decision making. Taking into account some weaknesses of the norm-based approaches, a multiobjective programming model for curve fitting is given in which the violations are minimized simultaneously as a vector. This approach is more flexible for the curve fitting problem. Indeed, using the concept of efficiency in multiobjective programming, it enables us to impose some additional helpful secondary preferences. Especially, this approach can obtain a fitted curve with efficient violations and minimum average curvature or minimum average slope.