Problems on triangular norms and related operators

被引:35
作者
Klement, EP [1 ]
Mesiar, R
Pap, E
机构
[1] Johannes Kepler Univ Linz, Dept Algebra Stochast & Knowledge Based Math Syst, Fuzzy Log Lab, A-4040 Linz, Austria
[2] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, Bratislava 81368, Slovakia
[3] Acad Sci Czech Republ, Inst Informat Theory & Automat, CR-18208 Prague, Czech Republic
[4] Univ Novi Sad, Dept Math & Informat, YU-21000 Novi Sad, Serbia
关键词
triangular norm; triangular conorm; uninorm; aggregation operator;
D O I
10.1016/S0165-0114(03)00303-8
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
A number of open problems on triangular norms and related operators was posed during the 24th Linz seminar on fuzzy set theory "Triangular norms and related operators in many-valued logics" held in February 2003. They are collected here, together with some other open problems in this context and with some problems which were posed earlier and have been solved in the meantime. (C) 2003 Elsevier B.V. All rights reserved.
引用
收藏
页码:471 / 479
页数:9
相关论文
共 40 条
[1]  
ALSINA C, IN PRESS AEQUATIONES
[2]  
ALSINA C, 2002, ADV MAT, V3, P323
[3]  
[Anonymous], 2000, TRIANGULAR NORMS TRE
[4]  
[Anonymous], 1966, Lectures on functional equations and their applications
[5]  
BENFERHAT B, 1997, AGGREGATION FUSION I, P141
[6]  
Bezdek J. C., 1978, Fuzzy Sets and Systems, V1, P111, DOI 10.1016/0165-0114(78)90012-X
[7]   CONVEX DECOMPOSITIONS OF FUZZY PARTITIONS [J].
BEZDEK, JC ;
HARRIS, JD .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 67 (02) :490-512
[8]   A family of strict and discontinuous triangular norms [J].
Budinevic, M ;
Kurilic, MS .
FUZZY SETS AND SYSTEMS, 1998, 95 (03) :381-384
[9]   Triangular norms on product lattices [J].
De Baets, B ;
Mesiar, R .
FUZZY SETS AND SYSTEMS, 1999, 104 (01) :61-75
[10]  
Dubois D., 1988, Computational Intelligence, V4, P244, DOI 10.1111/j.1467-8640.1988.tb00279.x