区间二元语义Bonferroni集成算子及其决策应用  

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

作　　者：张茂竹 陈华友[1] 韩冰[1] 江莹 ZHANG Maozhu;CHEN Huayou;HAN Bing;JIANG Ying(School of Mathematical Sciences,Anhui University,Hefei 230601,China)

机构地区：[1]安徽大学数学科学学院,合肥230601

出　　处：《计算机工程与应用》2018年第9期121-125,223,共6页Computer Engineering and Applications

基　　金：国家自然科学基金面上项目(No.71371011);国家自然科学基金青年科学基金(No.71301001);安徽省高等学校自然科学研究项目(No.KJ2016A250);安徽大学大学生科研训练计划项目(No.KYXL2016009);安徽大学研究生学术创新研究项目(No.yfc100017)

摘　　要：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 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.

关 键 词：C-I2TLWBA算子 二元语义 模型 决策应用 

分 类 号：C934[经济管理—管理学]