An Interval-Parameter Fuzzy Approach for Multiobjective Linear Programming Under Uncertainty |
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Authors: | Simon Wu Guo H Huang |
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Institution: | (1) Faculty of Engineering, University of Regina, Regina, Saskatchewan, S4S 0A2, Canada |
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Abstract: | An interval-parameter fuzzy linear programming method (IFMOLP) is proposed in this study for multiple objective decision-making
under uncertainty. As a hybrid of interval-parameter and fuzzy methodologies, the IFMOLP incorporates interval-parameter linear
programming and fuzzy multiobjective programming approaches to form an integrated optimization system. The method inherits
advantages of interval-parameter programming, and allows uncertainties and decision-makers’ aspirations to be effectively
communicated into its programming processes and resulting solutions. Membership functions for both objectives and constraints
are formulated to reflect uncertainties in different system components and their interrelationships. An interactive solution
procedure has been developed based on solution approaches of the interval-parameter and fuzzy programming techniques, plus
necessary measures for handling the multiobjective feature. A didactic example is provided in the paper to illustrate the
detailed solution process. Possibilities of further improvements by seeking Pareto optimum and incorporating flexible preference
within constraints are also discussed. |
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Keywords: | fuzzy set interval parameter linear programming multiobjective uncertainty |
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