Some properties of residuated lattices

被引：58
作者：
Belohlávek, R [1 ]
机构：
[1] Univ Ostrava, Inst Res & Appl Fuzzy Modeling, CZ-70103 Ostrava, Czech Republic
来源：
CZECHOSLOVAK MATHEMATICAL JOURNAL | 2003年 / 53卷 / 01期
关键词：
residuated lattice; fuzzy logic; variety; congruence;
D O I：
10.1023/A:1022935811257
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We investigate some (universal algebraic) properties of residuated lattices-algebras which play the role of structures of truth values of various systems of fuzzy logic.
引用
收藏
页码：161 / 171
页数：11
相关论文
共 24 条
[1]  
[Anonymous], 1970, J COMBINATORIAL THEO
[2]  
[Anonymous], 1999, Mathematical Principles of Fuzzy Logic, DOI DOI 10.1007/978-1-4615-5217-8
[3]   On the regularity of MV-algebras and Wajs']jsberg hoops [J].
Belohlávek, R .
ALGEBRA UNIVERSALIS, 2000, 44 (3-4) :375-377
[4]  
BIRKHOFF G, 1967, ASM C PUBL, V25
[5]  
Chajda I, 1998, ACTA SCI MATH SZEGED, V64, P431
[6]  
Chang C. C., 1958, T AM MATH SOC, V88, P467
[7]  
Chang C. C., 1959, Transactions of the American Mathematical Society, V93, P74, DOI [DOI 10.1090/S0002-9947-1959-0122718-1, 10.2307/1993423]
[8]   Basic Fuzzy Logic is the logic of continuous t-norms and their residua [J].
R. Cignoli ;
F. Esteva ;
L. Godo ;
A. Torrens .
Soft Computing, 2000, 4 (2) :106-112
[9]  
Cignoli R. L. O., 1999, ALGEBRAIC FDN MANY V
[10]  
CSAKANY B, 1970, ACTA SCI MATH, V31, P187
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