• A fuzzy approach to hierarchic...

Result: A fuzzy approach to hierarchical multiobjective programming problems and its application to an industrial pollution control problem

Title:
A fuzzy approach to hierarchical multiobjective programming problems and its application to an industrial pollution control problem
Authors:
YANO, H, SAKAWA, M
Source:
Fuzzy sets and systems. 160(22):3309-3322
Publisher Information:
Kidlington: Elsevier, 2009.
Publication Year:
2009
Physical Description:
print, 32 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, Informatique; automatique theorique; systemes, Computer science; control theory; systems, Informatique théorique, Theoretical computing, Divers, Miscellaneous, Automatique théorique. Systèmes, Control theory. Systems, Théorie des systèmes, System theory, Electronique, Electronics, Circuits électriques, optiques et optoélectroniques, Electric, optical and optoelectronic circuits, Propriétés des circuits, Circuit properties, Circuits électroniques, Electronic circuits, Circuits numériques, Digital circuits, Telecommunications et theorie de l'information, Telecommunications and information theory, Théorie de l'information, du signal et des communications, Information, signal and communications theory, Méthodes mathématiques, Mathematical methods, Algorithme, Algorithm, Algoritmo, Ensemble flou, Fuzzy set, Conjunto difuso, Ingénierie, Engineering, Ingeniería, Méthode décomposition, Decomposition method, Método descomposición, Programmation mathématique, Mathematical programming, Programación matemática, Programmation multiobjectif, Multiobjective programming, Programación multiobjetivo, Système flou, Fuzzy system, Sistema difuso, Traitement information, Information processing, Procesamiento información, 65Kxx, Fuzzy mathematical programming, Hierarchical multiobjective programming, Multiple decision makers
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
School of Humanities and Social Sciences, Nagoya City University, I Yamanohata Mizuho-cho, Mizuho-ku, 467-8501 Nagoya, Japan
Faculty of Engineering, Hiroshima University, 739-8527 Higashi-Hiroshima, Japan
ISSN:
0165-0114
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=21984175
Rights:
Copyright 2009 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:
Computer science; theoretical automation; systems

Electronics

Telecommunications and information theory
Accession Number:
edscal.21984175
Database:
PASCAL Archive

Further Information

In this paper, we focus on hierarchical multiobjective programming problems where multiple decision makers in a hierarchical organization have their own multiple objective functions, and propose an interactive algorithm based on the dual decomposition method to obtain the satisfactory solution which reflects not only the hierarchical relationships between multiple decision makers but also their own preferences for their objective functions. In the proposed algorithm, assuming that each of the decision makers has fuzzy goals for his/her objective functions, corresponding membership functions are elicited from the decision makers in their subjective manner. In order to deal with hierarchical multiobjective programming problems, a new kind of Pareto optimality concept in membership spaces is defined and the concept of decision powers of multiple decision makers in a hierarchical decision structure is introduced. The proposed algorithm is applied to the industrial pollution control problem in Osaka City in Japan in order to show the efficiency of the proposed method.