Three-way decisions based on neutrosophic sets and AHP-QFD framework for supplier selection problem

The neutrosophic set is an excellent tool for dealing with vague and inconsistent information effectively. Consequently, by studying the concept of three-way decisions based on neutrosophic set, we can find a suitable manner to take a reasonable decision. In this article, we suggest two rules of three-way decisions based on three membership degrees of neutrosophic set. A new evaluation function is presented to calculate weights of alternatives, for choosing the best one. We also study a supplier selection problem (selecting suppliers to obtain the indispensable materials for assisting the outputs of companies). The best suppliers need to be selected to enhance quality, service, to reduce cost, and to control time. The most widely used technique for determining the requirements of a company is the Quality Function Deployment (QFD). Since traditional QFD technique does not prioritize stakeholders' requirements and fails to deal with vague and inconsistent information, this research also integrates it with Analytic Hierarchy Process (AHP) depending on neutrosophic environment. A case study is presented to illustrate the effectiveness of the proposed model.