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

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.