In a special case of type-2 fuzzy logic systems (FLS), i.e. geometric inteIval type-2 fuzzy logic systems (GIT-2FLS), the crisp output is obtained by computing the geometric center of footprint of uncertainly (FO...In a special case of type-2 fuzzy logic systems (FLS), i.e. geometric inteIval type-2 fuzzy logic systems (GIT-2FLS), the crisp output is obtained by computing the geometric center of footprint of uncertainly (FOU) without type-reduction, but the defuzzifying method acts against the corner concepts of type-2 fuzzy sets in some cases. In this paper, a PSO type-reduction method for GIT-2FLS based on the particle swarm optimization (PSO) algorithm is presented. With the PSO type-reduction, the inference principle of geometric interval FLS operating on the continuous domain is consistent with that of traditional interval type-2 FLS operating on the discrete domain. With comparative experiments, it is proved that the PSO type-reduction exhibits good performance, and is a satisfactory complement for the theory of GIT-2FLS.展开更多
基金Sponsored by the National Hi-Tech Program of China(Grant No. 2005AA420050)the National Key Technology R&D Program of China(Grant No.2006BAD10A0401, 2006BAH02A01)
文摘In a special case of type-2 fuzzy logic systems (FLS), i.e. geometric inteIval type-2 fuzzy logic systems (GIT-2FLS), the crisp output is obtained by computing the geometric center of footprint of uncertainly (FOU) without type-reduction, but the defuzzifying method acts against the corner concepts of type-2 fuzzy sets in some cases. In this paper, a PSO type-reduction method for GIT-2FLS based on the particle swarm optimization (PSO) algorithm is presented. With the PSO type-reduction, the inference principle of geometric interval FLS operating on the continuous domain is consistent with that of traditional interval type-2 FLS operating on the discrete domain. With comparative experiments, it is proved that the PSO type-reduction exhibits good performance, and is a satisfactory complement for the theory of GIT-2FLS.