Abstract: With the dramatic economic increases and irreversible increases of China’s population, and declines of arable land, the feasible way to increase food production is to increase the grain yield per unit area. These result in the huge increases of nitrogen fertilizer application, and reducing nitrogen-use efficiency, lower economic profit, poor grain quality and environmental contamination by nitrogen. Selection of rice genotype with high nitrogen use efficiency is one feasible way of methods to improve nitrogen use efficiency. In this paper, we first introduce some operations on the intuitionistic fuzzy sets, and further develop the intuitionistic fuzzy Hamacher power weighted average (IFHPWA) operator. We also establish some desirable properties of this operator, such as idempotency, Boundedness and monotonicity. Then, we apply the intuitionistic fuzzy Hamacher power weighted average (IFHPWA) to deal with multiple attribute decision making with Intuitionistic fuzzy information. Finally, an illustrative example for Nitrogen use efficiency evaluation of different rice genotypes is given to verify the developed approach.
Keywords: Intuitionistic fuzzy numbers, operational laws, intuitionistic fuzzy Hamacher power weighted average (IFHPWA) operator, nitrogen use efficiency evaluation, different rice genotypes
