Ranking the Development of Tourism and its Backgrounds in Rural Areas, Using Gray Topsis (Case Study: Rrual Areas of Varzaghan Township)

The touristic Resources and the attractions based on tourism, constitute the main topics in this field. Studies of these two topics, form the foundations of tourism. Resources and tourist attractions of the constituent elements of tourism are considered. Varzaquan County has a great potential for tourism development. There are pristine natural areas, climatic conditions, naturally beautiful landscapes such as forests Arasbaran, Chychaklu, all hands in have to make this city a special place for attracting the tourists. In this research, rankings of the city are based on ability and suitability for tourism development. In analysis and application of spatial data there are usually same uncertainities. Different reasons form these uncertainties in the data model and the presented model in this paper and is based on the spatial data, reduces the mentioned problem. The present approach is based on gray theory has recently been presented in scientific circles. A major focus of this paper is to enhance the effectiveness of the Original TOPSIS Method to evaluate the system of indicator-based model. Therefore, the authers have introduced the weight of each index to the Original TOPSIS Method for improvement. Initially, the Gray Correlation Analysis Method is utilized to calculate the weight of each index. In the recent years, the Gray Correlation Analysis Method has been widely used in the fields of geology, ecology, economic and so on. It is an effective method to examine the relationship between statisticd data by judging the interrelationship between the two indices based on the extent of their links. Secondly, the calculated weights are added to the Original TOPSIS Method. Evidently, the indicator-based model (based on selected indices) is applied in all kinds of field in terms of decision-making. Thus the evaluation system of indicator-based model plays an essential role. In recent years, the Original TOPSIS Method has been widely applied in evaluating the performance of indicator-based model, which has no restriction of sample size and data distribution pattern. Unfortunately, it’s undeniable that the selected indices have always some certain relationships with the effectiveness of the structuredmodels. Additionally, the changes of each index may lead to the internal change of the interactions between indices. All defects mentioned above may contribute to the deviation, which causes negative affects on decision-making.Thus the evaluation system of indicator-based model plays an essential role. In recent years, the Original TOPSIS Method has been widely applied in evaluating the performance of indicator-based model, which has no restriction of sample size and data distribution pattern. Unfortunately, it’s undeniable that the selected indices have always some certain relationships with the effectiveness of the structuredmodels. Additionally, the changes of each index may lead to the internal change of the interactions between indices. All defects mentioned above may contribute to the deviation, which causes negative affects on decision-making.