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.
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Yano, H. (2009). Interactive Decision Making for Hierarchical Multiobjective Linear Programming Problems. In: Torra, V., Narukawa, Y., Inuiguchi, M. (eds) Modeling Decisions for Artificial Intelligence. MDAI 2009. Lecture Notes in Computer Science(), vol 5861. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-04820-3_13
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DOI: https://doi.org/10.1007/978-3-642-04820-3_13
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-04819-7
Online ISBN: 978-3-642-04820-3
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