Abstract
Since the introduction of fuzzy sets theory, fuzzy method made successful applications in many areas, such as fuzzy control and intelligent decision systems. In these areas, there are usually random perturbations caused by the constantly changing of real situations, thus the analysis of the stability and robustness is an important issue for the applications. In the side of fuzzy methods, we have a corresponding problem: will a small random perturbation of input cause a big oscillation of output of a fuzzy method? In particular, when the distributions of random perturbations are given, what is the propagation of random perturbations in fuzzy schemes? In this paper, we start to answer the question. We estimate the expectation of the propagated perturbations under different fuzzy algebraic operators with two analysis methods. Some examples are presented to show the effectiveness and features of the analysis methods.
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Zheng, Z., Wu, S., Cai, KY. (2009). Propagation of Random Perturbations under Fuzzy Algebraic Operators. In: Karagiannis, D., Jin, Z. (eds) Knowledge Science, Engineering and Management. KSEM 2009. Lecture Notes in Computer Science(), vol 5914. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-10488-6_10
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DOI: https://doi.org/10.1007/978-3-642-10488-6_10
Publisher Name: Springer, Berlin, Heidelberg
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