Solving fuzzy linear programming problems with interval type-2 RHS

Authors:
Juan Carlos Figueroa García
Affiliations:
Laboratory for Automation, Microelectronics and Computational Intelligence, Universidad Distrital Francisco José de Caldas, Bogotá, Colombia
Venue:
SMC'09 Proceedings of the 2009 IEEE international conference on Systems, Man and Cybernetics
Year:
2009

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Abstract

This paper presents two general methods to handle uncertainties in the Right Hand Side parameters of a Linear Programming (LP) model by means of Interval Type-2 Fuzzy Sets (IT2 FS). In this paper, a LP problem with uncertain Right Side parameters treated as Interval Type-2 Fuzzy sets is solved by two optimization strategies: The first one is a type-reduction method and the second one is a pre-defuzzified α - cut approach. After the IT2 FS inference process, a real-valued solution must be found. In this way two methods based on classical optimization routines are presented to obtain optimal solutions when uncertain right hand side parameters exist.