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Interactive Decision Making for Hierarchical Multiobjective Linear Programming Problems

  • Hitoshi Yano
Conference paper
  • 647 Downloads
Part of the Lecture Notes in Computer Science book series (LNCS, volume 5861)

Abstract

In this paper, we focus on hierarchical multiobjective linear programming problems where multiple decision makers in a hierarchical organization have their own multiple objective linear functions together with common linear constraints, 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. In the proposed method, instead of Pareto optimal concept, the generalized Λ-extreme point concept is introduced. In order to obtain the satisfactory solution from among the generalized Λ-extreme point set, an interactive decision making method based on the linear programming is proposed, and an interactive processes are demonstrated by means of an illustrative numerical example.

Keywords

Decision Maker Decision Power Satisfactory Solution Multiobjective Optimization Problem Unique Optimal Solution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Hitoshi Yano
    • 1
  1. 1.Nagoya City UniversityNagoyaJapan

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