Triangular intuitionistic fuzzy number based backorder and lost sale in production, remanufacturing and inspection process

A method of planning a company's production in advance for the manufacturing process and controlling the raw materials in inventory required for producing finished goods. Remanufacturing is an industrial process that restores usable life to used products or broken-down components known as "cores" through a series of processes. Also, production and remanufacturing process is a desirable concept in the competitive corporate environment because of the globalization of marketing strategy. In this paper, deals with the impact of manufacturing and remanufacturing process with supply changes. Here two models are considered Manufacturing and Remanufacturing with unsatisfied demand, Manufacturing and Remanufacturing with additional one unit under unsatisfied demand. Further cases are discussed with either full backorder and lost sales in commodities and also pure backorder with additional one unit and lost sales in commodities. Along with the both cases are discussed under two types of error in the inspection process. Triangular Intuitionistic fuzzy is applied in this inventory model. The total cost with the maximum profit is calculated using the cost parameters are determined in the inventory control model and the ideal overall cost using triangular intuitionistic fuzzy. The intuitionistic arena yields is the lowest cost. The accuracy function of de-intuitionistic number fuzzification was calculated. Mathematical model, intuitionistic model and four numerical examples are suggested and it reducing the overall inventory cost as well as the existence and uniqueness of the best solutions for both models by the de intuitionistic fuzzification. The solution processes, sensitivity analysis for both models are discussed.