The 2-Tuple Linguistic Aggregation Operator And The Application In Electromagnetic Environment Evaluation

The multiple attribute decision-makings(MADM) is an important part of the modern decision theory. Its method and theory have been successfully applied in a multitude of fields, such as economics, management, military, engineering, etc. In the decision-making process, decision-maker evaluates the importance of projects, in the view of their knowledge and experience. As the issue of the ambiguity and the limitation in decision-making, in the general decision-making method, the group assessment results by aggregating the individual linguistic assessment results are always an approximate results. Such the aggregation process accompanies information loss and assembly process inaccuracy. However, the 2-tuples linguistic method is that the individual information given by decision-maker is transformed into 2-tuples linguistic symbols, and then makes decision analysis. This method can continue the discrete language evaluation set, effectively decrease information loss and distortion, well overcome the defects betrayed above and greatly improve the precision of the decision model. So making related research on theory and methods based on 2-tuple linguistic multiple attribute decision is of significance in theory and practice, and has a better application prospect.In the information age, Electromagnetic field has become the fifth domain which coexists with ground, marine, space and outer space. Its resources has become important one which human fighting for, and is affecting and deciding the process of economic development. There will turn up the complexion in which the electromagnetic wave will interfere severely with each other and the electromagnetic environment will be gravely polluted, if we can not protect the electromagnetic resources and program the application of spectrum resources, in the circumstance of its increasing intension and complexity, and even produce heavy losses to the nation. Therefore, it is greatly significant to research electromagnetic environment evaluation system, in order to know and understand the use of spectrum resources, protect the electromagnetic environment. Because of the 2-tuple linguistic advantages, this paper studies the 2-tuple linguistic aggregation operator, and tries to apply this operator to the electromagnetic environment evaluation. The chief researches are as follows:(â…°) We summarize the relevant knowledge of the 2-tuple linguistic representation model, introduce the unbalanced linguistic values and their 2-tuple linguistic representation model, propose the unbalanced linguistic ordered weighted geometric operator, and also discuss its propositions and application in great detail; (â…±) We analyze the characteristics of the electromagnetic environment,mine the attributes which are affect it, and detailedly describe their traits, in the view of its relevant knowledge and regulations of national standard;(â…²) The pretreatment analysis has been done before the electromagnetic environment evaluated, and the preprocessing method based on template is proposed, according to the particularity and complexity of the electromagnetic environment and the actual background;(â…³) We transform the attribute values into 2-tuple linguistic representation model by the membership function of linguistic term, aggregate the 2-tuple linguistic information by the unbalanced linguistic ordered weighted geometric operator, establish the 2-tuple linguistic multiple attribute electromagnetic environment evaluation model, and the simulation experiment is done to testify the validity and rationality of the method.