Generalization of the linguistic aggregation operator and its application in decision making
Generalization of the linguistic aggregation operator and its application in decision making
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DOI：
10.3969/j.issn.1004-4132.2011.04.007
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发表时间：
2011-08
影响因子：
2.1
通讯作者：
J. Merigó;A. M. Gil-Lafuente;Ligang Zhou;Huayou Chenm
中科院分区：
文献类型：
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作者：
J. Merigó;A. M. Gil-Lafuente;Ligang Zhou;Huayou Chenm
利用广义平均和拟算术平均给出了语言聚集函数（或算子）的一个推广。首先介绍了语言加权广义平均（LWGM）和语言广义有序加权平均（LGOWA）算子。这些聚合函数在加权平均（WA）和有序加权平均（OWA）函数中使用语言信息和广义均值。它们对于不确定的情况非常有用，在这种情况下，现有的信息不能用数值进行评估，但可以使用语言评估。这些聚合算子推广了广泛的聚合算子，使用语言信息，如语言广义平均（LGM），语言OWA（LOWA）算子和语言有序加权二次平均（LOWQA）算子。我们还介绍了一个进一步的推广，通过使用拟算术平均值，而不是广义平均值获得的准LWA和准LOWA运营商。最后，我们开发了一个应用程序的新方法，我们分析了决策问题的选择策略。
A generalization of the linguistic aggregation functions (or operators) is presented by using generalized and quasiarithmetic means. Firstly, the linguistic weighted generalized mean (LWGM) and the linguistic generalized ordered weighted averaging (LGOWA) operator are introduced. These aggregation functions use linguistic information and generalized means in the weighted average (WA) and in the ordered weighted averaging (OWA) function. They are very useful for uncertain situations where the available information cannot be assessed with numerical values but it is possible to use linguistic assessments. These aggregation operators generalize a wide range of aggregation operators that use linguistic information such as the linguistic generalized mean (LGM), the linguistic OWA (LOWA) operator and the linguistic ordered weighted quadratic averaging (LOWQA) operator. We also introduce a further generalization by using quasi-arithmetic means instead of generalized means obtaining the quasi-LWA and the quasi-LOWA operator. Finally, we develop an application of the new approach where we analyze a decision making problem regarding the selection of strategies.