Bimigrativity of binary aggregation functions

被引：27

作者：

Lopez-Molina, C. ^{[1
]}

De Baets, B. ^{[2
]}

Bustince, H. ^{[1
]}

Indurain, E. ^{[3
]}

Stupnanova, A. ^{[4
]}

Mesiar, R. ^{[4
,5
]}

机构：

[1] Univ Publ Navarra, Dept Automat & Computac, E-31006 Pamplona, Spain

[2] Univ Ghent, Dept Math Modelling Stat & Bioinfomat, B-9000 Ghent, Belgium

[3] Univ Publ Navarra, Dept Matemat, E-31006 Pamplona, Spain

[4] Slovak Univ Technol Bratislava, Bratislava, Slovakia

[5] Univ Ostrava, Inst Res & Applicat Fuzzy Modeling, NSC Div IT4Innovat, CZ-70103 Ostrava 1, Czech Republic

来源：

INFORMATION SCIENCES | 2014年 / 274卷

关键词：

Fuzzy logic; Aggregation function; Migrativity; Bisymmetry; TRIANGULAR NORMS; T-NORMS; MIGRATIVITY; COPULAS;

D O I：

10.1016/j.ins.2014.02.119

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 the notions of bimigrativity and total bimigrativity of an aggregation function w.r.t. another aggregation function, as a natural generalization of the notions of migrativity and bisymmetry. We investigate the role of the presence of neutral or absorbing elements. We also pay attention to the class of weighted quasi-arithmetic means, a well-known class of bisymmetric aggregation functions. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：225 / 235

页数：11

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