Interactive fuzzy programming for multi-level linear programs with fuzzy numbers

In the fuzzy programming for multi-level linear programming problems developed by Lai et al. (1996), since the fuzzy goals are determined for both an objective function and decision variables at the upper level, undesirable solutions are produced when these fuzzy goals are inconsistent. In order to...

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Bibliographic Details
Published in:1998 Second International Conference on Knowledge-Based Intelligent Engineering Systems Proceedings Vol. 1; pp. 109 - 118 vol.1
Main Authors: Sakawa, M., Nishizaki, I., Uemura, Y.
Format: Conference Proceeding
Language:English
Published: IEEE 1998
Subjects:
Delta modulation
Electronic mail
Functional programming
Fuzzy systems
Game theory
Large-scale systems
Linear programming
Mathematical model
Mathematical programming
Systems engineering and theory
ISBN:9780780343160, 0780343166
Online Access:Get full text
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Summary:In the fuzzy programming for multi-level linear programming problems developed by Lai et al. (1996), since the fuzzy goals are determined for both an objective function and decision variables at the upper level, undesirable solutions are produced when these fuzzy goals are inconsistent. In order to overcome such problems, after eliminating the fuzzy goals for decision variables, interactive fuzzy programming for multi-level linear programming problems with fuzzy parameters is presented. In our interactive method, after determining the fuzzy goals of the decision makers at all levels, a satisfactory solution is derived efficiently by updating the satisfactory degrees of decision makers at the upper level with considerations of overall satisfactory balance among all levels. An illustrative numerical example for three-level linear programming problems is provided to demonstrate the feasibility of the proposed method.
ISBN:9780780343160
0780343166
DOI:10.1109/KES.1998.725834