Computing optimal solutions of a linear programming problem with interval type-2 fuzzy constraints

Authors:
Juan Carlos Figueroa-García;Germán Hernandez
Affiliations:
Universidad Nacional de Colombia, Sede Bogotá, Colombia and Universidad Distrital Francisco José de Caldas, Bogotá, Colombia;Universidad Nacional de Colombia, Sede Bogotá, Colombia
Venue:
HAIS'12 Proceedings of the 7th international conference on Hybrid Artificial Intelligent Systems - Volume Part I
Year:
2012

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Abstract

This paper presents the computation of the set of optimal solutions of a Fuzzy Linear Programming model with constraints that involve uncertainty, by means of Interval Type-2 Fuzzy sets. By applying convex optimization algorithms to a linear programming model with Interval Type-2 fuzzy constraints, an Interval Type-2 fuzzy set of optimal solutions derived from the uncertain constraints of the problem, is obtained. This set of optimal solutions is defined through four boundaries which determine its behavior. Finally, some theoretical considerations are made and explained through an application example.