Classes of examples of pseudo-MV algebras, pseudo-BL algebras and divisible bounded non-commutative residuated lattices

被引：5

作者：

Iorgulescu, Afrodita ^{[1
]}

机构：

[1] Acad Econ Studies, Dept Comp Sci, R-70167 Bucharest, Romania

来源：

SOFT COMPUTING | 2010年 / 14卷 / 04期

关键词：

Pseudo-MV algebra; Pseudo-Wa[!text type='js']js[!/text]berg algebra; Pseudo-BCK algebra; Pseudo-BL algebra; Pseudo-Hajek(pP) algebra; Divisible bounded non-commutative residuated lattice; Divisible bounded pseudo-BCK(pP) lattice; BCK ALGEBRAS;

D O I：

10.1007/s00500-009-0405-5

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

We illustrate by classes of examples the close connections existing between pseudo-MV algebras, on the one hand, and pseudo-BL algebras and divisible bounded non-commutative residuated lattices, on the other hand. We use equivalent definitions of these algebras, as particular cases of pseudo-BCK algebras. We analyse the strongness, the pseudo-involutive center and the filters for each example.

引用

页码：313 / 327

页数：15

共 19 条

[1] Classes of examples of pseudo-MV algebras, pseudo-BL algebras and divisible bounded non-commutative residuated lattices
Afrodita Iorgulescu
Soft Computing, 2010, 14 : 313 - 327
[2] Pseudo-BL algebras and pseudo-effect algebras
Zhang, Xiao-Hong
Fan, Xue-Shuang
FUZZY SETS AND SYSTEMS, 2008, 159 (01) : 95 - 106
[3] Pseudo-Iseki algebras. Connection with pseudo-BL algebras
Iorgulescu, A
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2005, 11 (3-4) : 263 - 308
[4] Pseudo-MV algebras as L-algebras
Yang, Yichuan
Rump, Wolfgang
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2012, 19 (5-6) : 621 - 632
[5] On pseudo-BL algebras and BCC-algebras
Xiao-hong Zhang
Wei Hua Li
Soft Computing, 2006, 10
[6] On pseudo-BL algebras and BCC-algebras
Zhang, Xiao-Hong
Li, Wei Hua
SOFT COMPUTING, 2006, 10 (10) : 941 - 952
[7] BIPARTITE PSEUDO-BL ALGEBRAS
Walendziak, Andrzej
Wojciechowska-Rysiawa, Magdalena
DEMONSTRATIO MATHEMATICA, 2010, 43 (03) : 487 - 496
[8] ANOTHER AXIOMATIZATION OF PSEUDO-BL ALGEBRAS
Walendziak, Andrzej
Wojciechowska-Rysiawa, Magdalena
NEURAL NETWORK WORLD, 2009, 19 (06) : 735 - 743
[9] Fuzzy prime ideals of pseudo-MV algebras
Dymek, Grzegorz
SOFT COMPUTING, 2008, 12 (04) : 365 - 372
[10] On (∈, ∈ ∨ q)-Fuzzy Filters of Pseudo-BL Algebras
Zhan, Jianming
Jun, Young Bae
Dudek, Wieslaw A.
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2010, 33 (01) : 57 - 67

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