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
相关论文
共 50 条
  • [41] Invariant continuous aggregation functions
    Bronevich, Andrey
    Mesiar, Radko
    INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 2010, 39 (02) : 177 - 188
  • [42] Parametric characterization of aggregation functions
    Kolesarova, Anna
    Mesiar, Radko
    FUZZY SETS AND SYSTEMS, 2009, 160 (06) : 816 - 831
  • [43] A CHARACTERIZATION OF A CLASS OF AGGREGATION FUNCTIONS
    ALSINA, C
    MAYOR, G
    TOMAS, MS
    TORRENS, J
    FUZZY SETS AND SYSTEMS, 1993, 53 (01) : 33 - 38
  • [44] On convergence of topological aggregation functions
    Stehlik, M.
    FUZZY SETS AND SYSTEMS, 2016, 287 : 48 - 56
  • [45] Flipping of multivariate aggregation functions
    Durante, Fabrizio
    Fernandez-Sanchez, Juan
    Juan Quesada-Molina, Jose
    FUZZY SETS AND SYSTEMS, 2014, 252 : 66 - 75
  • [46] Bimigrativity of binary aggregation functions
    Lopez-Molina, C.
    De Baets, B.
    Bustince, H.
    Indurain, E.
    Stupnanova, A.
    Mesiar, R.
    INFORMATION SCIENCES, 2014, 274 : 225 - 235
  • [47] Extremal symmetrization of aggregation functions
    Radko Mesiar
    Andrea Stupňanová
    Ronald R. Yager
    Annals of Operations Research, 2018, 269 : 535 - 548
  • [48] Power stable aggregation functions
    Kolesarova, Anna
    Mesiar, Radko
    Rueckschlossova, Tatiana
    FUZZY SETS AND SYSTEMS, 2014, 240 : 39 - 50
  • [49] Aggregation functions: Construction methods, conjunctive, disjunctive and mixed classes
    Grabisch, Michel
    Marichal, Jean-Luc
    Mesiar, Radko
    Pap, Endre
    INFORMATION SCIENCES, 2011, 181 (01) : 23 - 43
  • [50] Composition of of interval-valued fuzzy relations using aggregation functions
    Elkano, Mikel
    Antonio Sanz, Jose
    Galar, Mikel
    Pekala, Barbara
    Bentkowska, Urszula
    Bustince, Humberto
    INFORMATION SCIENCES, 2016, 369 : 690 - 703
12345