On the migrativity of triangular subnorms

被引：29
作者：
Wu, Limin [1 ]
Ouyang, Yao [1 ]
机构：
[1] Huzhou Teachers Coll, Fac Sci, Huzhou 313000, Zhejiang, Peoples R China
来源：
FUZZY SETS AND SYSTEMS | 2013年 / 226卷
关键词：
Migrativity; Fuzzy connectives and aggregation operators; Triangular subnorms; Additive generator; CONVEX COMBINATIONS; T-NORMS; COPULAS;
D O I：
10.1016/j.fss.2012.12.013
中图分类号：
TP301 [理论、方法];
学科分类号：
081202 ;
摘要：
The (alpha, T)-migrative triangular subnorms, where T stands for the three prototype triangular norms (namely the product, the Lukasiewicz t-norm and the minimum), are investigated in detail. The paper gives necessary and sufficient conditions under which a triangular subnorm with a continuous additive generator is (alpha, T)-migrative with respect to any of the three prototype triangular norms. (C) 2013 Elsevier B.V. All rights reserved.
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收藏
页码：89 / 98
页数：10
相关论文
共 19 条
[1]  
[Anonymous], 2006, ASS FUNCTIONS TRIANG
[2]   A family of strict and discontinuous triangular norms [J].
Budinevic, M ;
Kurilic, MS .
FUZZY SETS AND SYSTEMS, 1998, 95 (03) :381-384
[3]   Migrativity of aggregation functions [J].
Bustince, H. ;
Montero, J. ;
Mesiar, R. .
FUZZY SETS AND SYSTEMS, 2009, 160 (06) :766-777
[4]   A note on the convex combinations of triangular norms [J].
Durante, Fabrizio ;
Sarkoci, Peter .
FUZZY SETS AND SYSTEMS, 2008, 159 (01) :77-80
[5]   Supermigrative semi-copulas and triangular norms [J].
Durante, Fabrizio ;
Ricci, Roberto Ghiselli .
INFORMATION SCIENCES, 2009, 179 (15) :2689-2694
[6]   On continuous triangular norms that are migrative [J].
Fodor, J. ;
Rudas, I. J. .
FUZZY SETS AND SYSTEMS, 2007, 158 (15) :1692-1697
[7]   Migrative t-norms with respect to continuous ordinal sums [J].
Fodor, J. ;
Rudas, I. J. .
INFORMATION SCIENCES, 2011, 181 (21) :4860-4866
[8]   An extension of the migrative property for triangular norms [J].
Fodor, J. ;
Rudas, I. J. .
FUZZY SETS AND SYSTEMS, 2011, 168 (01) :70-80
[9]   Quasi-copulas with a given sub-diagonal section [J].
Juan Quesada-Molina, Jose ;
Saminger-Platz, Susanne ;
Sempi, Carlo .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (12) :4654-4673
[10]  
Klement E.P., 2000, STUDIA LOGICA LIB, V8
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