document: Uncertainty bounds and their use in the design of interval type-2 fuzzy logic systems We derive inner - and outer-bound sets for the type-reduced set of an interval type-2 fuzzy logic system -LRB- FLS -RRB- , based on a new mathematical interpretation of the Karnik-Mendel iterative procedure for computing the type-reduced set . The bound sets can not only provide estimates about the uncertainty contained in the output of an interval type-2 FLS , but can also be used to design an interval type-2 FLS . We demonstrate , by means of a simulation experiment , that the resulting system can operate without type-reduction and can achieve similar performance to one that uses type-reduction . Therefore , our new design method , based on the bound sets , can relieve the computation burden of an interval type-2 FLS during its operation , which makes an interval type-2 FLS useful for real-time applications
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