Biconic aggregation functions

被引：29
作者：
Jwaid, T. [1 ]
De Baets, B. [1 ]
De Meyer, H. [2 ]
机构：
[1] Univ Ghent, KERMIT, Dept Math Modelling Stat & Bioinformat, B-9000 Ghent, Belgium
[2] Univ Ghent, Dept Appl Math & Comp Sci, B-9000 Ghent, Belgium
来源：
INFORMATION SCIENCES | 2012年 / 187卷
关键词：
Aggregation function; Quasi-copula; Copula; Diagonal section; Opposite diagonal section; Linear interpolation; QUASI-COPULAS; DIAGONAL SECTIONS; CONSTRUCTION; TRANSITIVITY; OPERATORS; FAMILY;
D O I：
10.1016/j.ins.2011.10.012
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We introduce a new method to construct aggregation functions. These aggregation functions are called biconic aggregation functions with a given diagonal (resp. opposite diagonal) section and their construction is based on linear interpolation on segments connecting the diagonal (resp. opposite diagonal) of the unit square to the points (0,1) and (1,0) (resp. (0,0) and (1,1)). Subclasses of biconic aggregation functions such as biconic semi-copulas, biconic quasi-copulas and biconic copulas are studied in detail. (C) 2011 Elsevier Inc. All rights reserved.
引用
收藏
页码：129 / 150
页数：22
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