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Robustness of higher-order fuzzy sets. (English) Zbl 1437.93065

Sadeghian, Alireza (ed.) et al., Frontiers of higher order fuzzy sets. New York, NY: Springer. 19-29 (2015).
Summary: Robustness is an important metric in analysis and design of interval type-2 fuzzy logic systems (IT2 FLSs). This chapter presents a mathematical approach to determine the robustness of IT2 FLSs that have withTakag-Sugeno-Kang (TSK) structure. We present numerical examples to demonstrate how the developed methodologies can be applied. The presented approach herein provides a systematic method for robust analysis of IT2 FLSs to further enhance their applications.
For the entire collection see [Zbl 1305.03004].

MSC:

93C42 Fuzzy control/observation systems
93B35 Sensitivity (robustness)
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[1] M.B. BiglarBegian, W.W. Melek, J.M. Mendel, Stability analysis of type-2 fuzzy systems. in Proceedings of IEEE World Congress on Computational Intelligence (WCCI), pp. 947-953, Hong Kong, June 2008
[2] M. Biglarbegian, W.W. Melek, J.M. Mendel, On the stability of interval type-2 TSK fuzzy logic control systems. IEEE Trans actions on. Systems, Man and Cybernetics— PartB : Cybernetics 40(3), 798-818 (2010)
[3] M. Biglarbegian, W.W. Melek, J.M. Mendel, On the robustness of type-1 and interval type-2 fuzzy logic systems in modeling. Elsevier:Inf o. Sci. 181(7), 1325-1347 (2011) · Zbl 1227.93063
[4] W.W. Melek, A. Goldenberg, The development of a robust fuzzy inference mechanism. Elsevier: Int. J. Approx. Reason. 39(1), 29-47 (2005) · Zbl 1065.68095
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