• Method for solving quasi-conca...

Result: Method for solving quasi-concave and non-concave fuzzy multi-objective programming problems

Title:
Method for solving quasi-concave and non-concave fuzzy multi-objective programming problems
Authors:
YU, Chian-Son, LI, Han-Lin
Source:
Theme: Decision Sciences and Fuzzy IntervalsFuzzy sets and systems. 122(2):205-227
Publisher Information:
Amsterdam: Elsevier, 2001.
Publication Year:
2001
Physical Description:
print, 15 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, Algorithme, Algorithm, Algoritmo, Linéarisation, Linearization, Linearización, Logique floue, Fuzzy logic, Lógica difusa, Maximisation, Maximization, Maximización, Optimisation vectorielle, Vector optimization, Optimización vectorial, Programmation floue, Fuzzy programming, Programación difusa, Programmation linéaire, Linear programming, Programación lineal, Programmation mathématique, Mathematical programming, Programación matemática, Programmation multiobjectif, Multiobjective programming, Programación multiobjetivo, Programmation objectif, Goal programming, Programación objetivo, Solution optimale, Optimal solution, Solución óptima, Analyse non concave, Non concave analysis, FMOP, Fuzzy multiobjective programming, Programmation non concave, Non concave programming
Document Type:
Academic journal Article
File Description:
text
Language:
English
Author Affiliations:
Department of Information Management, Shih Chien University, Taipei 10497, Tawain, Province of China
Institute of Information Management, National Chiao Tung University, Hsinchi 30050, Tawain, Province of China
ISSN:
0165-0114
Access URL:
http://pascal-francis.inist.fr/vibad/index.php?action=search&terms=1123436
Rights:
Copyright 2001 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.1123436
Database:
PASCAL Archive

Further Information

This paper proposes a method based on linear programming techniques to treat quasi-concave and non-concave fuzzy multi-objective programming (FMOP) problems. The proposed method initially presents a piecewise linear expression to interpreting a quasi-concave membership function. Then we find the convex-type break points and transform all quasi-concave membership functions into concave functions. After that, the converted program is solved by linear programming techniques to obtain a global optimum. In addition to not containing any of the zero-one variables, the proposed method does not require dividing the quasi-concave FMOP problem into large sub-problems as in conventional methods. The extension of the proposed method can treat general non-concave FMOP problems by merely adding less number of zero-one variables.