AIMS Mathematics, 2019, 4(4): 1078-1086. doi: 10.3934/math.2019.4.1078.

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Fuzzy gradient descent for the linear fuzzy real number system

Department of Mathematics, University of West Alabama, Livingston, Alabama 35470, USA

Many problems in education, finance, and engineering design require that decisions be made under uncertainty. In these fields, Machine Learning is often used to search for patterns and information from data. To find patterns in Fuzzy Data, Fuzzy Machine Learning techniques can be used. In this paper, we focus on solving and manipulating Fuzzy Nonlinear problems in the Linear Fuzzy Real (LFR) number system using the Gradient Descent. The Gradient Descent is the most often used learning algorithm in Machine Learning. Thus, we propose the LFR Gradient Descent method for solving nonlinear equations in the LFR number system.
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Keywords fuzzy nonlinear optimization; fuzzy numbers; linear fuzzy real numbers; machine learning; gradient descent

Citation: Frank Rogers. Fuzzy gradient descent for the linear fuzzy real number system. AIMS Mathematics, 2019, 4(4): 1078-1086. doi: 10.3934/math.2019.4.1078


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