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oai:dora.dmu.ac.uk:2086/261472026-03-26T03:04:02Zcom_2086_2388col_2086_2389

Type-2 Fuzzy Probabilistic System for Proactive Monitoring of Uncertain Data-intensive Seasonal Time Series Wang, Yuying This research realises a type-2 fuzzy probabilistic system for proactive monitoring of uncertain data-intensive time series in both theoretical and practical implications. In this thesis, a new form of representation, J-plane, is proposed for concave and un-normalized type-2 events as well as convex and normalizes ones, which facilitates bridging the gaps between higher order fuzzy probability realizations and real world problems. Since J-plane representation, the investigation of type-2 fuzzy probability theory and the proposal of a type-2 fuzzy probabilistic system become possible. Based on J-plane representation, a new fuzzy system model - a type-2 fuzzy probabilistic system is proposed incorporating probabilistic inference with type-2 fuzzy sets. A special case study, a type-2 fuzzy SARIMA system is proposed and experimented in forecasting singleton and uncertain non-singleton bench mark data - Mackey-Glass time series. The results show that the type-2 fuzzy SARIMA system has achieved significant improvements beyond its predecessors - the classical statistical model - SARIMA, type-1 and general type-2 fuzzy logic systems, no matter whether in the singleton or the non-singleton experiments, whereas a SARIMA model cannot forecast non-singleton data at all. The type-2 fuzzy SARIMA system is applied in a real world scenario - WSS CAP-S proactive monitoring, and compared with the results of the statistical model SARIMA, type-1 and general type-2 fuzzy logic systems to show that, the type-2 fuzzy SARIMA system can monitor practical uncertain data-intensive seasonal time series proactively and accurately, whereas its predecessors - the statistical model SARIMA, type-1 and general type-2 fuzzy logic systems - cannot deal with this at all. As a series of concepts, algorithms, experiments, practical implements and comparisons prove that, a type-2 fuzzy probabilistic system is viable in practice which realises that type-2 fuzzy systems evolve from rule-based fuzzy systems to the systems incorporating probabilistic inference with type-2 fuzzy sets. De Montfort University 2014 Thesis or dissertation Doctoral PhD en https://hdl.handle.net/2086/26147 https://dora.dmu.ac.uk/bitstreams/f5db50da-17f8-4751-a258-61e1174a2374/download bd41181d9a4c38b5ebacc69a027024d9 https://dora.dmu.ac.uk/bitstreams/7b4b7576-d8d1-4017-8454-669042e1a69c/download 3061653e3357a243e4db7bb4c9d6824b https://dora.dmu.ac.uk/bitstreams/8fd0d81a-0d93-4795-b0e7-886bdc023316/download 44430cce89357b3ace084e541d65a1dc Faculty of Technology, Arts and Culture