不确定语言广义加权Heronian平均算子及决策应用

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.

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

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.