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Unification of Linear Programming with a Rule-Based System by the Post-Model Analysis Approach

Author

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  • Jae Kyu Lee

    (Department of Management Information Systems, Korea Advanced Institute of Science and Technology, Seoul Campus, 207-43, Cheongryang, Seoul, 130-12, Korea)

  • Yong Uk Song

    (Department of Management Science, Korea Advanced Institute of Science and Technology, 373-1, Kusong-dong Yusong-gu, Taejon, 305-701, Korea)

Abstract

We attempt to unify a linear programming model with a rule-based system via overlapped decision variables. Since a rule base can be regarded as an acyclic AND/OR digraph, the unified model is virtually a multiobjective decision making problem that considers both numeric and symbolic objectives and decision variables. To solve this problem, the Post-model Analysis approach is adopted. An essential feature of the Post-model Analysis is that it supports nondominated tradeoffs among the numeric and symbolic objectives. So, this paper proposes a set of methods for computing the nondominated solutions. A prototype, UNIK-PMA that realizes the idea is developed as a subsystem of the UNIK (UNIfied Knowledge) system.

Suggested Citation

  • Jae Kyu Lee & Yong Uk Song, 1995. "Unification of Linear Programming with a Rule-Based System by the Post-Model Analysis Approach," Management Science, INFORMS, vol. 41(5), pages 835-847, May.
    • Handle: RePEc:inm:ormnsc:v:41:y:1995:i:5:p:835-847
    DOI: 10.1287/mnsc.41.5.835
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    Cited by:

    1. Chulsoo Kim & Chaehwan Won, 2004. "A knowledge‐based framework for incorporating investor's preference into portfolio decision‐making," Intelligent Systems in Accounting, Finance and Management, John Wiley & Sons, Ltd., vol. 12(2), pages 121-138, April.

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