基于犹豫直觉模糊语言数的多属性决策方法
|
摘要
综合犹豫直觉模糊集和语言集,提出犹豫直觉模糊语言集.首先,给出犹豫直觉模糊语言数的运算法则,并探讨犹豫直觉模糊语言数的加权算术平均算子和加权几何平均算子.其次,构建犹豫直觉模糊语言数的得分函数和精确函数,并给出犹豫直觉模糊语言数的排序方法.最后,给出犹豫直觉模糊语言数的多属性决策方法,并通过实例验证.
In this paper,we define hesitant intuitionistic fuzzy linguistic set by intergrating hesitant intuitionistic fuzzy set with linguistic set.Firstly,the operational laws of hesitant intuitionistic fuzzy linguistic number are given,and the weighted arithmetic averaging operator and the weighted geometric averaging operator of hesitant intuitionistic fuzzy linguistic number are explored.Secondly,score function and accuracy function of hesitant intuitionistic fuzzy linguistic number are given,then an approach of raking hesitant intuitionistic fuzzy linguistic number is studied.Finally,the multi-attribute decision making method of hesitant intuitionistic fuzzy linguistic number is proposed,and an example is given to verify the proposed method.
In this paper,we define hesitant intuitionistic fuzzy linguistic set by intergrating hesitant intuitionistic fuzzy set with linguistic set.Firstly,the operational laws of hesitant intuitionistic fuzzy linguistic number are given,and the weighted arithmetic averaging operator and the weighted geometric averaging operator of hesitant intuitionistic fuzzy linguistic number are explored.Secondly,score function and accuracy function of hesitant intuitionistic fuzzy linguistic number are given,then an approach of raking hesitant intuitionistic fuzzy linguistic number is studied.Finally,the multi-attribute decision making method of hesitant intuitionistic fuzzy linguistic number is proposed,and an example is given to verify the proposed method.
引文
[1]ZADEH L.The concept of a linguistic variable and its application to approximate reasoning-Ⅰ[J].Information Science,1975,8(3):199-249.
[2]CARRASCO R A,VILLAR P,HORNOS M J.A linguistic multi-criteria decision making model applied to hotel service quality evaluation from web data sources[J].Int J of Intelligent Systems,2012,27(7):704-731.
[3]RODR'IGUEZ R M,MART‘INEZ L,HERRERA F.A multi-criteria linguistic decision making model dealing with comparative terms[M].Berlin:Springer Heidelberg,2012:229-241.
[4]王坚强,李婧婧.多粒度直觉二元语义的多准则群决策方法[J].科技信息,2009,33:8-9.
[5]刘培德,金芳.区间直觉不确定语言集成算子及在群决策中的应用研究[J].管理工程学报,2014,28(1):124-130.
[6]TORRA V.Hesitant fuzzy sets[J].Int J of Intelligent Systems,2010,25(6):529-539.
[7]LIN Rui,ZHAO Xiaofei,WEI Guiwu.Models for selecting an ERP system with hesitant fuzzy linguistic information[J].J of Intelligent and Fuzzy Systems,2014,26(5):2155-2165.
[8]王坚强,吴佳亭.基于优序关系的模糊语言多准则决策方法[J].控制与决策,2015,30(5):887-891.
[9]DELGADO M,VERDEGAY J L,VILA M A.Linguistic decision making models[J].Int J of Intelligent Systems,1992,7(5):479-492.
[10]付超,赵敬.基于犹豫直觉模糊数的多属性决策方法[J].系统工程,2014,32(4):131-136.
[11]XU Zheshui.Uncertain Linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment[J].Information Science,2004,168:171-184.
[2]CARRASCO R A,VILLAR P,HORNOS M J.A linguistic multi-criteria decision making model applied to hotel service quality evaluation from web data sources[J].Int J of Intelligent Systems,2012,27(7):704-731.
[3]RODR'IGUEZ R M,MART‘INEZ L,HERRERA F.A multi-criteria linguistic decision making model dealing with comparative terms[M].Berlin:Springer Heidelberg,2012:229-241.
[4]王坚强,李婧婧.多粒度直觉二元语义的多准则群决策方法[J].科技信息,2009,33:8-9.
[5]刘培德,金芳.区间直觉不确定语言集成算子及在群决策中的应用研究[J].管理工程学报,2014,28(1):124-130.
[6]TORRA V.Hesitant fuzzy sets[J].Int J of Intelligent Systems,2010,25(6):529-539.
[7]LIN Rui,ZHAO Xiaofei,WEI Guiwu.Models for selecting an ERP system with hesitant fuzzy linguistic information[J].J of Intelligent and Fuzzy Systems,2014,26(5):2155-2165.
[8]王坚强,吴佳亭.基于优序关系的模糊语言多准则决策方法[J].控制与决策,2015,30(5):887-891.
[9]DELGADO M,VERDEGAY J L,VILA M A.Linguistic decision making models[J].Int J of Intelligent Systems,1992,7(5):479-492.
[10]付超,赵敬.基于犹豫直觉模糊数的多属性决策方法[J].系统工程,2014,32(4):131-136.
[11]XU Zheshui.Uncertain Linguistic aggregation operators based approach to multiple attribute group decision making under uncertain linguistic environment[J].Information Science,2004,168:171-184.