Result: Sum of Linear Ratios Multiobjective Programming Problem: A Fuzzy Goal Programming Approach
Title:
Sum of Linear Ratios Multiobjective Programming Problem: A Fuzzy Goal Programming Approach
Authors:
Source:
Nonlinear dynamics and systems theory. 12(3):289-302
Publisher Information:
Kiev: Informath Publishing Group, 2012.
Publication Year:
2012
Physical Description:
print, 32 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, 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, Efficacité, Efficiency, Eficacia, Fonction appartenance, Membership function, Función pertenencia, Fonction objectif, Objective function, Función objetivo, Fonction rationnelle, Rational function, Función racional, Logique floue, Fuzzy logic, Lógica difusa, Optimisation, Optimization, Optimización, Programmation floue, Fuzzy programming, Programación difusa, Programmation fractionnaire, Fractional programming, Programación fraccionaria, Programmation linéaire, Linear programming, Programación lineal, Programmation multiobjectif, Multiobjective programming, Programación multiobjetivo, Programmation objectif, Goal programming, Programación objetivo, Valeur extrême, Extreme value, Valor extremo, 90C29, 90C32, fractional programming, fuzzy goal programming, fuzzy multiobjective fractional programming, multiobjective programming, sum of ratio fractional program
Document Type:
Academic journal
Article
File Description:
text
Language:
English
Author Affiliations:
Department of Mathematics, Motilal Nehru National Institute of Technology, Allahabad, India
Department of Mathematics, National Institute of Technology, Warangal, India
Department of Mathematics, National Institute of Technology, Warangal, India
ISSN:
1562-8353
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
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.26260283
Database:
PASCAL Archive
Further Information
Sum of ratios optimization is an interesting field of research. This paper presents a solution method for sum of linear ratios multiobjective programming (SOLR ― MOP) problem using the fuzzy goal programming technique. Each membership function of fuzzy objectives is approximated into linear function by using first order Taylor's theorem about the vertex of the feasible region where the objective function has maximum value. Then the resulted approximated linearized membership functions may be used for the formulation of fuzzy goal programming. So the problem is solved using fuzzy goal programming technique. The efficiency of the method is measured by numerical examples.