Optimal Management of Production Stocks with the Neutrosophic Fuzzy Numbers

. The paper aims to shape the companies' production stocks using fuzzy neutrosophic numbers. The stock modeling using neutrosophic and triangular fuzzy numbers improves the company's financial performance, new indicators being proposed, such as: the optimal quantity of stocks, the cost minimization function, the cost of placing order, and the cost of storing a purchased unit of product. The significant advantage of shaping stocks management using fuzzy neutrosophic numbers is that it allows companies to determine the optimal quantities of stocks to be supplied using nonlinear mathematical programming algorithms. The innovative models for determining the optimal quantity of stocks are structured in two categories, namely: optimal stock supply models with fuzzy neutrosophic variables, with a single product, a constant demand, with out-of-stock, as well as models of optimal supply of stocks, with fuzzy neutrosophic variables, with several products, a constant demand and with out-of-stock. Both models use algorithms specific to nonlinear mathematical programming and provide a complete picture of the companies' stocks acquisition strategies needed for its operational activity. Finally, the results obtained from the modeling/simulation validate the operationalisation of the stock models presented and the modern foundation of companies' decisions on stock performance indicators.