
doi: 10.1002/ecjc.20166
In this paper, considering the two-level linear programming problem, which is a numerical model for the optimization of a hierarchical system by two decisionmakers, we focus on the situation where the coefficients are stochastic variables and reduce the formulated two-level stochastic linear programming problem to an ordinary two-level programming problem based on the probability maximization model in chance-constrained programming. Based on the assumption that motivation exists for cooperation between the high-level decisionmaker and the low-level decisionmaker in this resulting two-level programming problem, we consider interactive fuzzy programming that interactively derives a satisfactory solution of the high-level decisionmaker while considering the balance with the degree of satisfaction of the low-level decisionmaker. © 2005 Wiley Periodicals, Inc. Electron Comm Jpn Pt 3, 89(2): 33–42, 2006; Published online in Wiley InterScience (www.interscience.wiley.com). DOI 10.1002/ecjc.20166
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