Mathematics Project Abstract

QUALITATIVE ANALYSIS BETWEEN THE TRADITIONAL CALCULUS METHOD AND THE MODERN FUZZY METHOD TOWARD A MANUFACTURING PREDICAMENT

Presenter:

Grace Woo, Illinois Mathematics and Science Academy, 1500 W. Sullivan Road, Aurora, IL 60506

Mentor:

Dr. Peng Yung Woo, Professor of Electrical Engineering, EB 308, Northern Illinois University, DeKalb, IL 60115

Abstract:

Traditional Calculus has emerged as the most effective way to solve the optimization problem in science. Whether that be in context of complex manufacturing systems, aeronautics, hydraulics or others, researchers have always turned to calculus. This article proposes an alternate approach to these predicaments using fuzzy logic, which was first proposed by Professor Zadeh in 1965. Specifically, this new approach offers simpler feasible results to multi-variable applicable issues. Throughout the approach, a hypothetical manufacturing system is used to demonstrate the effects of this new method. A comparison is made between the conventional calculus approach and the fuzzy approach for the specified manufacturing system discussed in this article.