Probability Distribution and Fuzzy System Based on Triple I Algorithm

DOI

10.2991/icmii-15.2015.141How to use a DOI?

Keywords

triple I algorithm, generalized center of gravity fuzzy system, center of gravity fuzzy system, probability distribution, universal approximation.

Abstract

In the paper, probability distribution and fuzzy system based on the triple I algorithm and modified Reichenbach operator are discussed. Firstly, the joint probability density functions of two-dimensional random variables, the marginal probability density functions and numerical characteristics are obtained by using the center of gravity defuzzifier method. Secondly, the generalized center of gravity fuzzy systems and the center of gravity fuzzy systems based on singleton fuzzier method and non-singleton fuzzier method are obtained respectively. Meanwhile, it is pointed out that the center of gravity fuzzy systems are regression functions in the sense of probability theory. Finally, we prove the fuzzy systems not only have the universal approximation but also possess the first-order approximation accuracy.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Hongwei Fu
AU  - Liang Yang
AU  - Sichong Qian
PY  - 2015/10
DA  - 2015/10
TI  - Probability Distribution and Fuzzy System Based on Triple I Algorithm
BT  - Proceedings of the 3rd International Conference on Mechatronics and Industrial Informatics
PB  - Atlantis Press
SP  - 808
EP  - 818
SN  - 2352-538X
UR  - https://doi.org/10.2991/icmii-15.2015.141
DO  - 10.2991/icmii-15.2015.141
ID  - Fu2015/10
ER  -