不确定语言广义加权Heronian平均算子及决策应用  

Uncertain linguistic generalized weighted Heronian mean operator and its application in decision making

作　　者：胡喜梅 杨淑霞[1] 田大增[2] HU Ximei;YANG Shuxia;TIAN Dazeng(School of Economics and Management,North China Electric Power University,Beijing 102206,China;College of Mathematics and Information Science,Hebei University,Baoding 071002,China)

机构地区：[1]华北电力大学经济与管理学院,北京102206 [2]河北大学数学与信息科学学院,河北保定071002

出　　处：《河北大学学报（自然科学版）》2023年第2期113-120,共8页Journal of Hebei University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(72074074)。

摘　　要：在实际多属性决策问题中,属性间有时会存在一定的关联关系,且属性值有时以不确定语言的形式给出.为解决不确定语言环境下属性间存在关联关系的多属性决策问题,首先给出不确定语言广义加权Heronian平均(uncertain linguistic generalized weighted Heronian mean,ULGWHM)算子,并研究该算子的性质,包括幂等性、有界性、单调性、置换性及极限性质,然后给出了基于该算子的多属性决策方法,最后通过实例说明了基于ULGWHM算子的多属性决策方法的可行性.In practical multiple-attribute decision making problems,sometimes there are correlations between attributes,and attribute values are given in the form of uncertain language.In order to solve the multiple-attribute decision making problems with correlations between attributes in uncertain linguistic environment,the uncertain linguistic generalized weighted Heronian mean(ULGWHM)operator is given,and its properties are studied,including idempotency,boundedness,monotonicity,permutation and limit properties.Then a multiple-attribute decision making method based on this operator is presented.Finally,the feasibility of multiple-attribute decision making method based on ULGWHM operator is illustrated by an example.

关 键 词：多属性决策 属性关联 Heronian平均 不确定语言广义加权Heronian平均 

分 类 号：C934[经济管理—管理学]