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Neutrosophic Sets and Systems

Abstract

Businesses want to realize their production at the desired time and quality. In addition, businesses aim to use their existing resources efficiently and increase their earnings. The realization of more than one purpose is achieved by multi-purpose planning of production. This study considered the multi-objective production planning of a company that manufactures spare parts for household appliances. The management of the company wants to minimize its cost, cycle time, defective rates, and material wastage while maximizing its profits in the process of producing all 121 different products. This study presents a solution for this multi-item multi-objective production problem using the intuitionistic fuzzy and neutrosophic fuzzy multi-objective optimization models. The study gives a step-by-step explanation of the methods used to achieve the solution and a comparison detailing the problems of the business and the solutions obtained. The results show that the neutrosophic fuzzy multi-objective optimization model, which is capable of independently handling uncertainty, produces better results than the intuitionistic fuzzy multi-objective optimization model.

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