Environmental sustainability has turn out to be more famous in recent years. It is to observe about environmental
interactions to count on environmental declination. In addition, global warming is one of the major threats in our day
to day lifestyles. Because of this global warming greenhouse gases takes place .GHG occurs particularly through
human activities like combustion of fossil fuels in factories ,power plants etc. Also, it increases carbon emissions
that absorb heat energy which is emitted from earth surface. Supply chain sustainability is affecting an employer
deliver chain or logistics community and its far often related to an incorporating economic, social and environmental
components .This paper investigates that the environmental pollutants to achieve sustainability , Green inventory
model is used to achieve a minimum carbon emission using fuzzy logic. Fuzzy logic has been majorly used
nowadays. It is applied to many fields, from control theory to artificial intelligence .Fuzzy logic is useful for
minimizing the total cost, that is to reduce (GHG) emission through logistics activities.