摘要
针对属性值为区间直觉梯形模糊数(IITFN),且属性权重为区间值的多属性决策问题,提出一种基于离差最大化的IITFN多属性决策模型。计算各方案与正、负理想解的距离,定义各方案的不同属性到相应正、负理想解分量的离差,基于离差最大化原则给出最优化模型,应用Lingo工具给出权重的值,依据IITFN的加权算数平均算子给出各方案的总离差,根据总离差的大小对各方案进行排序。实例结果表明,该模型的运算步骤少,更易于实现。
For the problem of multi-attribute decision making,in which the attribute values are the Interval Intuition Trapezoidal Fuzzy Number（IITFN） and the weights are intervals,an IITFN multi-attribute decision model is presented based on the maximizing deviation.It calculates the distance between attribute and ideal solution,then the deviation between attribute and ideal solution of each scheme are defined.The optimization model of multi-attribute decision making is constructed based on the maximum deviation,by using Lingo means the weights of attribute is given.By using the weighted arithmetic average operator of the IITFN,the total deviation of each scheme is provided,and then scheme is ranked based on the total deviation.Example results show that this model needs few operation steps,and is easy to realize.
出处
《计算机工程》
CAS
CSCD
2013年第2期202-206,共5页
Computer Engineering
基金
国家自然科学基金资助项目(61073117)
安徽省高等学校省级自然科学研究计划基金资助项目
安徽大学学术创新团队计划基金资助项目(KJTD001B)
安徽高等学校优秀青年人才基金资助项目(2011SQRL186)
安徽大学研究生学术创新基金资助项目(yfc100017
yfc100018)
关键词
区间直觉梯形模糊数
多属性决策
离差最大化
理想解
权重
距离
Interval Intuition Trapezoidal Fuzzy Number（IITFN）
multi-attribute decision making
maximizing deviation
ideal solution
weight
distance
