Precursor Selection for Sol-Gel Synthesis of Titanium Carbide Nanopowders by a New Intuitionistic Fuzzy Multi-Attribute Group Decision-Making Model

This article develops a new intuitionistic fuzzy multi-attribute group decision-making model to solve precursor selection problems. The proposed model is based on a hybridization of intuitionistic fuzzy sets theory, grey relational analysis and technique for order performance by similarity to ideal solution method. To better describe the uncertain decision environment, multi-attribute group decision-making method with completely unknown weights of both experts and attributes is proposed in an intuitionistic fuzzy setting. Finally, the selection of the carbon source in synthesis of nanocrystalline titanium carbide powders by sol-gel route as an application example is solved by the proposed model, and the implementation of the model is illustrated completely.