Abstract
This article portrays the relationship between fractional order differential calculus and the computational intelligence method, applying it to the improvement of intelligent systems. The Kirchhoff Laws, represented by second order differential equations, were solved via non-integer order differential calculus. The results obtained were used in the implementation of decision trees, which allowed the decision rules to be incorporated into the controllers. The results obtained by mathematical modeling did magnify the information extracted from Kirchhoff's Laws. Due to the gain magnitude of this information, the decision trees were obtained with greater precision and accuracy. In this way, it was achieved to build a hybrid system capable of being used in the development of controllers automata that has the lower response time and highest efficiency.
Highlights
In the past 20 years, humanity’s care about Ambiental impacts gained even more weight on decision making, mainly because of extreme climatic changes and its impact on nature, economy, and life quality of humans
The Decision Tree (DT) methods were implemented using Classification Leaner tools, the Fractional Order Differential Calculus (FODC) codes were completely developed by the authors
Columns 2 to 10 present the circuit behavior on the same time instant but with dissimilar orders of the Non-Integer Order Derivative (NIOD), these orders values are symbolized by α, in which the relation of α and m from Equation 15 is set by the relation below
Summary
In the past 20 years, humanity’s care about Ambiental impacts gained even more weight on decision making, mainly because of extreme climatic changes and its impact on nature, economy, and life quality of humans. This caution about the consequence of humanity’s impact took much time do bring practical solutions, and because of that, society began living a hard time with resources production and distribution. (2021) with the chips shortage, affecting from the smartphones production to the new smart automobiles manufacturing Another sector struggling because of the pandemic and lack of previous prepare is the energy section, both power generation and power distribution, as shown in Hoskins. The need of caring about the energetical consumption got even higher because of world’s situation described previously on this paper, this new generation of home officers lack a trustful, efficient, and simple implementation system capable of managing their inhouse office room energetical usage
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