Performance evaluation of urban ecological environment construction with interval-valued intuitionistic fuzzy information

The development problem of small town is a present important issue in our country, concerning the urbanization process, agriculture and rural economy development and sustainable development of national economy directly. It is imperative to accelerate the construction of ecological environment in the small town under the national conditions of the increasing excessively of population, the serious shortage of resources, the environmental pollution, the ecology degradation and the great background of constructing the well-off society and the harmonious society comprehensively. Since the reform and opening-up, the construction of small town makes the enormous achievements, but the ecological environment problem in the urbanization process is serious day by day, and have already become the limiting factor of social progress. So the coordinated development of the economy, society and environment road is the necessary trend of small town development in the future. In this paper, we give some operations on the interval-valued intuitionistic fuzzy sets and further develop the interval-valued intuitionistic fuzzy Hamacher power weighted average (IVIFHPWA) operator. We also establish some desirable properties of this operator, such as idempotency, Boundedness and monotonicity. Then, we apply the IVIFHPWA operator to deal with multiple attribute decision making with interval-valued intuitionistic fuzzy information. Finally, a practical example for evaluating the performance of urban ecological environment construction is used to illustrate the developed procedures.