直觉三角模糊数密度算子及其决策应用  

Density Operator of Intuitionistic Triangular Fuzzy Numbers and its Application in Decision Making

作　　者：常娟[1] 杜迎雪[1] 刘卫锋[1] 

机构地区：[1]郑州航空工业管理学院理学院,河南郑州450046

出　　处：《数学的实践与认识》2016年第9期47-53,共7页Mathematics in Practice and Theory

基　　金：航空科学基金项目(2013ZD55006);郑州航空工业管理学院青年科研基金(2014113001;2016113003)

摘　　要：首先提出了一种直觉三角模糊数集聚类的方法,然后考虑到属性信息分布的疏密程度,针对属性值为直觉三角模糊数的多属性决策问题提出了直觉三角模糊数密度算子,给出了密度算子与已有几种信息集结算子合成的形式,并研究了直觉三角模糊数密度算子的性质.最后通过一个决策算例说明了直觉三角模糊数密度算子的有效性.A method of intuitionistic triangular fuzzy numbers clustering is introduced.Then,considering the density degree of the attribute information distribution,the density operator of intuitionistic triangular fuzzy numbers is given to solve the multi-attribute decision making problem of intuitionistic triangular fuzzy numbers.Several composite forms of the density operator and the several existing operators are given and the properties of the density operator for intuitionistic triangular fuzzy numbers are summarized.Finally,an example is given to illustrate the effectiveness of density operator of intuitionistic triangular fuzzy numbers.

关 键 词：三角模糊数 直觉三角模糊数 密度算子 决策 

分 类 号：O159[理学—数学]