区间二元语义Bonferroni集成算子及其决策应用

区间二元语义值是一种常用的不确定环境下决策信息表达形式。考虑到决策信息的交叉影响作用，定义了区间二元语义值的Bonferroni平均算子以及相应的加权形式，在此基础上，给出了组合形式的区间二元语义值的加权Bonferroni平均算子的概念，并研究了算子的幂等性、单调性等数学性质，给出了基于C-I2TLWBA算子区间二元语义值的集成模型和决策应用。实例表明了该模型具有较好的有效性。

Interval 2-tuple linguistic Bonferroni aggregation operators and their applications in decision-making

Interval two-tuple linguistic value is used to express the decision making information under uncertain environment. Considering the interaction among decision making information, this paper proposes the concepts of interval 2-tuple linguistic Bonferroni avering（I2TLBA） operator, interval 2-tuple linguistic weight Bonferroni averaging（I2TLWBA） operator and combined interval 2-tuple linguistic weight Bonferroni averaging（C-I2TLWBA） operator and also studies some properties of these aggregation operators, such as idempotency, monotonicity etc. According to decision-making with the decision information being 2-tuple linguistic information, the corresponding approach and steps based on C-I2TLWBA operator are given. The effectiveness of the model is shown by a numerical example.