Distributivity between semi-t-operators and semi-nullnorms

被引:86
作者
Drygas, Pawel [1 ]
机构
[1] Univ Rzeszow, Fac Math & Nat Sci, PL-35959 Rzeszow, Poland
关键词
Aggregation operators; Semi-t-operators; Semi-nullnorms; Distributivity equation; UNINORMS;
D O I
10.1016/j.fss.2014.09.003
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Recently the distributivity equation was discussed in families of certain operations (e.g. triangular norms, conorms, uninorms and nullnorms). In this paper we describe the solutions of distributivity between semi-t-operatorsand semi-nullnorms. Previous results about distributivity between nullnorms can be obtained as simple corollaries. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码:100 / 109
页数:10
相关论文
共 18 条
[1]  
Aczel J., 1966, Mathematics in Science and Engineering, V19
[2]  
[Anonymous], 1994, Fuzzy preference modelling and multicriteria decision support
[3]   On a class of distributive fuzzy implications [J].
Baczynski, M .
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2001, 9 (02) :229-238
[4]   On some solutions of the distributivity equation [J].
Calvo, T .
FUZZY SETS AND SYSTEMS, 1999, 104 (01) :85-96
[5]   The functional equations of Frank and Alsina for uninorms and nullnorms [J].
Calvo, T ;
De Baets, B ;
Fodor, J .
FUZZY SETS AND SYSTEMS, 2001, 120 (03) :385-394
[6]  
Drewniak J., 1983, BUSEFUL, V14, P69
[7]   Distributivity between uninorms and nullnorms [J].
Drewniak, Jozef ;
Drygas, Pawel ;
Rak, Ewa .
FUZZY SETS AND SYSTEMS, 2008, 159 (13) :1646-1657
[8]   A characterization of idempotent nullnorms [J].
Drygas, P .
FUZZY SETS AND SYSTEMS, 2004, 145 (03) :455-461
[9]  
Drygas P., 2014, SEMINULLNORMS UNPUB
[10]  
Klement E.P., 2000, Triangular Norms