运筹与管理2016，Vol.25Issue(2)：90-97,8.DOI:10.12005/orms.2016.0049
犹豫模糊语言 Heronian平均算子在多属性决策中的应用
Hesitant Fuzzy Linguistic Heronian Mean Operators and Their Application to Multiple Attribute Decision Making
摘要
Abstract
For solving multiple attribute decision making( MADM) problems when the evaluation values are in the form of hesitant fuzzy linguistic sets( HFLS) and the input arguments are associated with each other, an approach based on the Heronian mean( HM) operator is proposed to aggregate the hesitant fuzzy linguistic information.Due to the desirable properties of Heronian mean( HM) operator and geometric Heronian mean( GHM) operator that they can capture the interrelationship between input arguments, a hesitant fuzzy linguistic Heronian mean( HFL-HM) operator and a hesitant fuzzy linguistic geometric Heronian mean ( HFLGHM ) operator are proposed. Furthermore, some desirable properties and special cases of these operators are studied in detail.Considering the input arguments with different importance, the hesitant fuzzy linguistic weighted Heronian mean ( HFLWHM) operator and the hesitant fuzzy linguistic weighted geometric Heronian mean( HFLWGHM) operator are defined. Moreover, based on these proposed aggregation operators, we develop an approach to deal with multiple attribute decision making problems under hesitant fuzzy linguistic environment.Finally, a numerical example is provided to illustrate the practicality and validity of the proposed method.关键词
多属性决策(MADM)/犹豫模糊语言集(HFLS)/犹豫模糊语言Heronian平均(HFLHM) 算子/犹豫模糊语言几何Heronian平均(HFLGHM) 算子Key words
Multiple attribute decision making(MADM)/Hesitant fuzzy linguistic sets(HFLS)/hesitant fuzzy linguistic Heronian mean(HFLHM ) operator/hesitant fuzzy linguistic geometric Heronian mean(HFLGHM ) operator分类
管理科学引用本文复制引用
于倩,侯福均..犹豫模糊语言 Heronian平均算子在多属性决策中的应用[J].运筹与管理,2016,25(2):90-97,8.基金项目
国家自然科学基金资助项目 （）
