Research Article Open Access

Fuzzy Parametric Deduction for Material Removal Rate Optimization

Tian-Syung Lan1
  • 1 ,
Journal of Mathematics and Statistics
Volume 7 No. 1, 2011, 51-56


Submitted On: 8 February 2011 Published On: 31 January 2011

How to Cite: Lan, T. (2011). Fuzzy Parametric Deduction for Material Removal Rate Optimization. Journal of Mathematics and Statistics, 7(1), 51-56.


Problem statement: A general optimization scheme without equipment operations for CNC (computer numerical control) finish turning is deemed to be necessarily developed. Approach: In this study, four parameters (cutting depth, feed rate, speed, tool nose runoff) with three levels (low, medium, high) were considered to optimize the Material Removal Rate (MRR) based on L9(34) orthogonal array. Twenty-seven fuzzy control rules using trapezoid membership function with respective to seventeen linguistic grades for material removal rate were additionally constructed. Considering thirty input and eighty output intervals, the defuzzification using center of gravity was moreover completed. Through the Taguchi experiment, the optimum fuzzy deduction parameters could then be received. Results: The confirmation experiment for optimum deduction parameters was furthermore computed within the parameter ranges on an ECOCA-3807 CNC lathe. It is shown that the material removal rate from the fuzzy deduction optimization parameters was significantly advanced comparing to that from the benchmark. Conclusions: This study not only proposed a parametric deduction optimization scheme using orthogonal array, but also contributed the satisfactory fuzzy approach to the material removal rates for CNC turning with profound insight.

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  • Computer Numerical Control (CNC)
  • Taguchi method
  • fuzzy deduction optimization
  • Material Removal Rate (MRR)
  • CNC turning
  • deduction parameters
  • fuzzy linguistic
  • fuzzy control rules
  • control factors
  • design parameters
  • process parameters