计算机工程与应用 ›› 2018, Vol. 54 ›› Issue (9): 121-125.DOI: 10.3778/j.issn.1002-8331.1612-0021

• 模式识别与人工智能 • 上一篇    下一篇

区间二元语义Bonferroni集成算子及其决策应用

张茂竹,陈华友,韩  冰,江  莹   

  1. 安徽大学 数学科学学院,合肥 230601
  • 出版日期:2018-05-01 发布日期:2018-05-15

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

ZHANG Maozhu, CHEN Huayou, HAN Bing, JIANG Ying   

  1. School of Mathematical Sciences, Anhui University, Hefei 230601, China
  • Online:2018-05-01 Published:2018-05-15

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。

关键词: C-I2TLWBA算子, 二元语义, 模型, 决策应用

Abstract: 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.

Key words: C-I2TLWBA operator, 2-tuple linguistic, model, applications in decision-making