Result: A fuzzy approach for multilevel multiobjective programming problems and the concept of generalized Λ-extreme points

Title:
A fuzzy approach for multilevel multiobjective programming problems and the concept of generalized Λ-extreme points
Authors:
H. Yano
Source:
2007 IEEE International Conference on Industrial Engineering and Engineering Management. :70-74
Publisher Information:
IEEE, 2007.
Publication Year:
2007
Subject Terms:
0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology
Document Type:
Academic journal Article
DOI:
10.1109/ieem.2007.4419153
Access URL:
http://yadda.icm.edu.pl/yadda/element/bwmeta1.element.ieee-000004419153
http://ieeexplore.ieee.org/document/4419153/
https://ieeexplore.ieee.org/document/4419153/
Accession Number:
edsair.doi.dedup.....037b5fc126f19e42560af9f3a51a80f8
Database:
OpenAIRE

Further Information

In this paper, we focus on multilevel multiobjective programming problems where multiple decision makers in a hierarchical organization have their own multiple objective functions, and propose an interactive decision making 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 from among the generalized Lambda-extreme point set. The generalized Lambda-extreme point is defined by using Lambda-extreme points of each of the decision makers, which is an extended concept of Pareto optimal solutions in multiobjective programming problems. In order to obtain the satisfactory solution from among the generalized Lambda-extreme point set, an interactive fuzzy decision making method based on the hyperplane method is proposed.