On a certain class of aggregative operators

被引：26

作者：

Dombi, Jozsef ^{[1
]}

机构：

[1] Univ Szeged, Dept Informat, Szeged, Hungary

来源：

INFORMATION SCIENCES | 2013年 / 245卷

关键词：

Aggregative operator; Uninorm; Pliant system; Dombi operator; UNINORMS; DISTRIBUTIVITY; SYSTEMS;

D O I：

10.1016/j.ins.2013.04.010

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Here our starting point is a study of connection with Dombi aggregative operators, uninorms, strict t-norms and t-conorms. We present a new representation theorem of strong negations that explicitly contains the neutral value. Then the relationships for aggregative operators and strong negations are verified as well as those for the t-norm and t-conorm using the Pan operator concept. We introduce the multiplicative pliant concept and give the necessary and sufficient conditions for it. We study a certain class of weighted aggregative operators (representable uninorms) which build a self-DeMorgan class with infinitely many negations. We provide the necessary and sufficient conditions for these operators. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：313 / 328

页数：16

共 38 条

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Aczel J., 1966, Mathematics in Science and Engineering, V19

[2] A characterization of residual implications derived from left-continuous uninorms [J].