Abstract
In this paper, we provide a method of constructing joint probability density function and fuzzy system by using fuzzy inference based on a set data of input-output. Firstly, we build fuzzy relation and derive the joint probability density function. Secondly, we discuss the marginal density function and numerical characteristic of the joint probability distribution, including mathematical expectation, variance and covariance. Finally, using probability distribution in this paper, we work out the corresponding the center of gravity fuzzy system and show the fuzzy system is an universal approximator.
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Wang, D., Yuan, X., Li, H. (2010). A Kind of Center of Gravity Fuzzy System. In: Cao, By., Wang, Gj., Guo, Sz., Chen, Sl. (eds) Fuzzy Information and Engineering 2010. Advances in Intelligent and Soft Computing, vol 78. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14880-4_29
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DOI: https://doi.org/10.1007/978-3-642-14880-4_29
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14879-8
Online ISBN: 978-3-642-14880-4
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