An interval-parameter fuzzy approach for multiobjective linear programming under uncertainty

An interval-parameter fuzzy approach for multiobjective linear programming under uncertainty

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Article ID: iaor20082729
Country: United Kingdom
Volume: 6
Issue: 2
Start Page Number: 195
End Page Number: 212
Publication Date: Jun 2007
Journal: Journal of Mathematical Modelling and Algorithms
Authors: ,
Keywords: programming: linear, programming: multiple criteria
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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