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In this paper, Dimensional Dynamic Fuzzy Comprehensive Evaluation Model is devised to evaluate the water availability ability. Water availability can be understood by two main aspects: environment and economy. In the modeling process, the evaluation can be transformed into two-dimensional form. Dynamic modeling process adds time factor to obtain the different weights in different periods. Introduction Based on the two-dimensional modeling process, evaluation indicators should be selected in two aspects: environmental system and comprehensive coordination. Environmental system reflects the regional water resource situation, which depends on the macro geographical environment, and can be defined as System Indicators (SI).While comprehensive coordination aspect should describe the relationships with economy, society and ecology systematically, which can be concluded as Coordination Indicators (CI). The summarized indicators are shown in Figure 1. The data for the indicators is collected from the websites mainly. Figure 1 Water Availability Indicators System Indicators (SI)  Average Water. It measures the amount of freshwater resources can be utilized to the average share of each person, which approximates naturalized river discharge.  Total Available Water (area normalized). Total available water is an estimate of surface water availability. It measures the ratio of average local available water to the area of this region.  Annual Precipitation. It is a statistical data, which refers to the regional natural precipitation degree recharge.  Water Compliance. This metrics is related to water quality to meet the requirements and average local water quality. Coordination Indicators (CI) Coordination Indicators (CI) can be subdivided into three aspects: Social Coordination Indicators, 6th International Conference on Machinery, Materials, Environment, Biotechnology and Computer (MMEBC 2016) © 2016. The authors Published by Atlantis Press 880 Economic Coordination Indicators and Ecological Coordination Indicators. Social Coordination Indicators:  S/D Coefficient. Literally, this metrics can be described as the ratio of water demand in the region to water supply.  Safety Drinking. It refers to the proportion of people drinking safety water. Economic Coordination Indicators:  Water Consumption. It refers to the ratio of the total water consumption to the city's gross domestic product (GDP).  Sewage Generation. It describes the ratio of total sewage generation to total GDP, which reflects the coordination of regional economic development and water pollution. Ecological Coordination Indicators:  Ecological Water Shortage. It measures the proportion of ecological environment in water scarce situation.  Water Pollution. This metric refers to the coefficient of water pollution proportion. Dynamic Weights and Normalization  Determine Dynamic Weights Coefficient of Variation Method is an objective weighting method, which establishes the objective weight of indicators, using the information contained in the indicators directly. Considering the dynamic nature of the indicators that affect both supply and demand, the developed model is devised based on the previous theory. We specify the calculation of System Indicators (SI), and the others can be calculated in the same way. In the example, the selected countries are respectively China, the United States, Canada and Egypt. The entire calculation flow is shown as follow: Step 1: Construct the basic evaluation dataset A. Define the evaluation indicators index as and the countries as . Step 2: Calculate the growth matrix B considering the variation trends of indicators. where describes the growth degrees of compared with the previous data. Step 3: Weighted summation. Integrate the static composite matrix A with the growth matrix B in the consideration of static evaluation and dynamic growth. The dynamic comprehensive evaluation matrix C can be calculated as follow: where s is defined as time factor, a new indicator we introduce to the model, which reflects the different attentions to different period in the analysis process. The closer s to 0, the greater attention to recent evaluation data. Similarly, the closer s to 1, the changed evaluation data gets greater attention. In this example, we define , which presents static integrated value is as important as the growth value.

Evaluation of water availability ability based on Dimensional Dynamic Fuzzy Comprehensive Evaluation Model