On aggregation operators for ordinal qualitative information

被引:60
作者
Godo, L [1 ]
Torra, V [1 ]
机构
[1] CSIC, Inst Invest Intelligencia Artificial, Bellaterra 08193, Spain
关键词
aggregation operators; finite t-norms; qualitative aggregation; weighted mean;
D O I
10.1109/91.842149
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In many fuzzy systems applications, values to be aggregated are of a qualitative nature. In that case, if one wants to compute some type of average, the most common procedure is to perform a numerical interpretation of the values, and then apply one of the well-known (the most suitable) numerical aggregation operators. However, if one wants to stick to a purely qualitative setting, choices are reduced to either weighted versions of max-min combinations or to a few existing proposals of qualitative versions of OWA operators. In this paper, we explore the feasibility of defining a qualitative counterpart of the weighted mean operator without having to use necessarily any numerical interpretation of the values. We propose a method to average qualitative values, belonging to a (finite) ordinal scale, weighted with natural numbers, and based on the use of finite t-norms and t-conorms defined on the scale of values. Extensions of the method for other OWA-like :Ind Choquet integral-type aggregations are also considered.
引用
收藏
页码:143 / 154
页数:12
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