A carbon emission optimization model with reduction method of type-2 zigzag uncertain variable

The main investigation of the paper is to propose a reduction method of type-2 zigzag uncertain variables. We have also proposed an innovative, dynamic solid transportation problem (STP) considering maximization of profit and minimization of emission. The model has been presented to show an awareness among the drivers or managers of firms to emit less amount of carbon particles. The transportation parameters of the model have been taken as type-2 zigzag uncertain variables. The proposed expected value-based reduction method has been used to convert the transportation parameters into deterministic form. A real-life study has been presented here to show the use of the proposed reduction method and proposed STP. LINGO 13.0 optimization software has been used to solve the multi-objective STP using fuzzy satisficing method and intuitionistic fuzzy programming technique. The transportation parameters of the model are also presented in type-2 triangular fuzzy variables to show a comparison with the type-2 zigzag uncertain variable. A sensitivity analysis is presented with respect to different credibility levels of profit, emission, source, demand and conveyance.