SIRMS BASED INTERVAL TYPE-2 FUZZY INFERENCE SYSTEMS: PROPERTIES AND APPLICATION
Chengdong Li, Jianqiang Yi · 2010
The single input rule modules (SIRMs) based type-1 fuzzy inference systems (SIRM-TIFIS.s), which assign each input item, with a rule module, can greatly reduce the number of fuzzy rules and have found lots of applications. This paper extends SIBM-T1FISs to the interval type-2 case to achieve better performance. Furthermore, the properties of the SIRMs based interval type-2 fuzzy inference systems (SIRM-IT2FISs) are investigated. These properties are focused on clarifying the relationships of different fuzzy inference systems (FISs): I) the relationships between SIBM-IT2FISs and their corresponding Takagi-Sugeno (TS) IT2FISs, 2) the relationships between SIRM-1T2FISs and TS T1FISs. These results can help us to deepen our understanding of the SIRMs based FISs. At last, an application to the anti-swing and positioning control of an overhead crane system is given to show the effectiveness of the SIRM-IT2FIS, and comparisons with other control methods are made to demonstrate the superiority of the SIRM-IT2FIS.