Interactive fuzzy programming for two-level linear fractional programming problems

This paper presents interactive fuzzy programming for two-level linear frac tional programming problems with the essentially cooperative decision maker s. Tn our interactive method, after determining the fuzzy goals of the deci sion makers at both levels, a satisfactory solution is efficiently derived by updating the satisfactory level of the decision maker at the upper level with considerations of overall satisfactory balance between both levels. I n an interactive process, optimal solutions to the formulated programming p roblems are obtained by combined use of the bisection method and the phase one of linear programming and the variable transformation by Charnes and Co oper. An illustrative numerical example is provided to demonstrate the feas ibility and efficiency of the proposed method. (C) 2001 Elsevier Science B. V. All rights reserved.