The Research On Aggregation Operators Based On2-dimension Linguistic Information

Multiple attribute decision making plays an important role in modern decision science, and has been applied to the fields of economic, political, culture, technology and so on. However, most multiple attribute decision making problems are uncertain, owing to the complexity and uncertainty of objects and the fuzziness of human minds. Therefore these problems are called uncertain multiple attribute decision making. Since linguistic variables are intuitive and convenient to express fuzzy information, especially qualitative information in uncertain multiple attribute decision making. Therefore the uncertain multiple attribute decision making problem with linguistic variables has got a great progress and has achieved fruitful researches so far.However, as the decision-environment changes, there is such a kind of fuzzy linguistic decision making problem, which requires to give not only the attribute values of all the objects, but also the reliable judgment of each evaluation result. That is to say, in order to improve the accuracy of evaluation results, decision makers need to utilize2-dimension linguistic variables to describe their evaluation of an object, where the first class language is to describe the evaluation result of attributes, and the second class language is to describe the subjective evaluation of the reliable judgment of the evaluation result they give. This paper copes with the aggregation operators with2-dimension uncertain linguistic variables, and applies them to the multiple attribute decision making problems.The innovation of this paper is:(1)Combine classical operators which are applied to multiple attribute decision making with real number with2-dimension uncertain linguistic information, presenting the2-dimension uncertain linguistic generalized operator, the2-dimension uncertain linguistic prioritized operator, the2-dimension uncertain linguistic Choquet integral operator, the2-dimension uncertain linguistic power operator and the2-dimension uncertain linguistic Bonferroni operator, and study the nature of these operators;(2)Introduce the method of solving the multiple attribute decision making problems with2-dimension uncertain linguistic information based on the operators above.