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In this article, a grey-based fuzzy logic algorithm was proposed as a soft computing method to optimize the metal inert gas (MIG) welding process parameters during the joining of stainless steel (AISI) 304. In welding, welding process parameters play a significant role to evaluate the weld quality i.e. mechanical properties. Input parameters selected for examination referred to as welding current, voltage, wire feed speed and gas flow rate were optimized. The grey-based fuzzy logic algorithm was used to obtain a grey fuzzy reasoning grade (GFRG) and it was observed from result that experiment number seven have the highest value of MPCI. In this experimental work arc voltage play a major role on the determination of MPCI and it was also observed that the grey-based fuzzy method is very helpful for the continuous enhancement of the product quality and on fractrography mode of fracture was ductile observed.