• An interactive fuzzy satisfici...

Result: An interactive fuzzy satisficing method for multiobjective block angular linear programming problems with fuzzy parameters

Title:
An interactive fuzzy satisficing method for multiobjective block angular linear programming problems with fuzzy parameters
Authors:
SAKAWA, M, KATO, K
Source:
Fuzzy Mathematical ProgrammingFuzzy sets and systems. 111(1):55-69
Publisher Information:
Amsterdam: Elsevier, 2000.
Publication Year:
2000
Physical Description:
print, 26 ref
Original Material:
INIST-CNRS
Subject Terms:
Control theory, operational research, Automatique, recherche opérationnelle, Computer science, Informatique, Mathematics, Mathématiques, 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, Echelle grande, Large scale, Escala grande, Méthode décomposition, Decomposition method, Método descomposición, Optimum Pareto, Pareto optimum, Optimo Pareto, Programmation floue, Fuzzy programming, Programación difusa, Programmation linéaire, Linear programming, Programación lineal, Programmation multiobjectif, Multiobjective programming, Programación multiobjetivo, LSMOLP, Large scale multiobjective linear programming, Méthode intéractive, Interactive method, Objectif flou, Fuzzy objective, Paramètre flou, Fuzzy parameter
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Industrial and Systems Engineering, Faculty of Engineering, Hiroshima University, Higashi-Hiroshima 739-8527, Japan
ISSN:
0165-0114
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=1320685
Rights:
Copyright 2000 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.1320685
Database:
PASCAL Archive

Further Information

In this paper, by considering the experts' imprecise or fuzzy understanding of the nature of the parameters in the problem-formulation process, large-scale multiobjective block-angular linear programming problems involving fuzzy parameters characterized by fuzzy numbers are formulated. Using the α-level sets of fuzzy numbers, the corresponding nonfuzzy α-programming problem is introduced. The fuzzy goals of the decision maker for the objective functions are quantified by eliciting the corresponding membership functions including nonlinear ones. Through the introduction of an extended Pareto optimality concept, if the decision maker specifies the degree α and the reference membership values, the corresponding extended Pareto optimal solution can be obtained by solving the minimax problems for which the Dantzig-Wolfe decomposition method is applicable. Then a linear programming-based interactive fuzzy satisficing method for deriving a satisficing solution for the decision maker efficiently from an extended Pareto optimal solution set is presented along with an illustrative numerical example.