The Research On Aggression Operations Based On Interval Neutrosophic Uncertain Linguistic Variables

Multiple attribute decision making is an important branch in the field of decision making,and has been applied in the fields of political, economic, cultural and so on. In real decision making, due to the fuzziness of human thing and the complexity of objective world, in order to accurately describe decision making information, the forms of evaluation values should be continuously expanded and enriched according to the specific circumstances. Interval neutrosophic uncertain linguistic set plays an important role in dealing with incomplete, uncertain and inconsistent information, which consisted of interval neutrosophic set and uncertain linguistic set. Interval neutrosophic uncertain linguistic set can represent the qualitative information more carefully, so that the evaluation information conform to the reality.At present, the important role of the interval neutrosophic uncertain linguistic set in multiple attribute decision making has been recognized by many experts and scholars, who recognized that the further study of interval neutrosophic uncertain linguistic set is a forward-looking research. However, the existing research is only in the initial stage, which do not deep into the combination with the majority of information aggregation operators.In order to make up the blank of the research field, this paper which is based on the interval neutrosophic uncertain linguistic variables and three information aggregation operators provide the theory, model and method for multiple attribute decision making so that it further enrich the decision making methods and expand the practical application.(1) Based on the importance of the data itself, we combine the interval neutrosophic uncertain linguistic set with generalized aggregation operators to propose three interval neutrosophic uncertain linguistic generalized aggregation operators, and further research the properties of these operators. The process of the multiple attribute group decision making method based on the proposed operator has been introduced and the influence of the different values of parameter have been taken into account.(2) Based on the correlation between different attributes, we combine the interval neutrosophic uncertain linguistic set with Bonferroni Mean operators to propose fourinterval neutrosophic uncertain linguistic Bonferroni Mean aggregation operators. Then,we introduce two multiple attribute group decision making methods based on these operators. In order to verify the effectiveness of the proposed methods, a numerical example has been applied, at the same time, the different values of parameter can be taken into account.(3) Based on the special advantage of Heronian Mean operators which avoid repeatedly considering the correlation between different attributes, we combine the interval neutrosophic uncertain linguistic set with Heronian Mean operators to propose new information aggregation operators. Then, two multiple attribute group decision making method are introduced based on the proposed operators. In order to verify the effectiveness of the proposed methods, a numerical example has been applied, at the same time, the different values of parameter p,q can be taken into account.