With the rapid economic development, China is facing a comparatively short supply of mineral resources after the relatively long-term developmental stage that is based on the consumption of mineral resources. Contradictions among the population, resources, the environment and developments
have arisen. Therefore, under the constraint conditions of limited and non-renewable mineral resources, the mineral resources industry in China must adhere to sustainable development. The aim of this paper is to investigate the multiple attribute decision making problems for quantitative prediction
of mineral resources with dual hesitant fuzzy information and incomplete weight information. Then, based on the traditional GRA method, calculation steps for solving dual hesitant fuzzy multiple attribute decision-making problems with incomplete weight information are proposed. Finally, an
algorithm of quantitative prediction of mineral resources based on the grey relational analysis with dual hesitant fuzzy information is proposed.