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Application of grey-fuzzy logic technique for parametric optimization of non-traditional machining processes

Shankar Chakraborty (Department of Production Engineering, Jadavpur University, Kolkata, India)
Partha Protim Das (Department of Mechanical Engineering, Sikkim Manipal Institute of Technology, Gangtok, India)
Vidyapati Kumar (Department of Production Engineering, Jadavpur University, Kolkata, India)

Grey Systems: Theory and Application

ISSN: 2043-9377

Article publication date: 5 February 2018




The purpose of this paper is to exploit the fullest potential and capability of different non-traditional machining (NTM) processes, it is often recommended to operate them at their optimal parametric combinations. There are several mathematical tools and techniques that have been effectively deployed for identifying the optimal parametric mixes for the NTM processes. Amongst them, grey relational analysis (GRA) has become quite popular due to its sound mathematical basis, ease to implement and apprehensiveness for multi-objective optimization of NTM processes.


In this paper, GRA is integrated with fuzzy logic to present an efficient technique for multi-objective optimization of three NTM processes (i.e. abrasive water-jet machining, electrochemical machining and ultrasonic machining) while identifying their best parametric settings for enhanced machining performance.


The derived results are validated with respect to technique for order preference by similarity to ideal solution (TOPSIS), and analysis of variance is also performed so as to identify the most significant control parameters in the considered NTM processes.

Practical implications

This grey-fuzzy logic approach provides better parametric combinations for all the three NTM processes with respect to the predicted grey-fuzzy relational grades (GFRG). The developed surface plots help the process engineers to investigate the effects of various NTM process parameters on the predicted GFRG values.


The adopted approach can be applied to various machining (both conventional and non-conventional) processes for their parametric optimization for achieving better response values.



Chakraborty, S., Das, P.P. and Kumar, V. (2018), "Application of grey-fuzzy logic technique for parametric optimization of non-traditional machining processes", Grey Systems: Theory and Application, Vol. 8 No. 1, pp. 46-68.



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