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 48 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] On BCK Algebras - Part III: Classes of Examples of Proper MV Algebras, BL Algebras and Divisible Bounded Residuated Lattices, with or without Condition (WNM)
Iorgulescu, Afrodita
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2010, 16 (3-5) : 341 - 386
[3] Some classes of pseudo-BL algebras
Georgescu, G
Leustean, L
JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2002, 73 : 127 - 153
[4] Non-commutative Hyper Residuated Lattices and Hyper Pseudo-BCK algebras
Zhang, Xiaohong
Zhan, Qiuyan
Wang, Xueping
2016 12TH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION, FUZZY SYSTEMS AND KNOWLEDGE DISCOVERY (ICNC-FSKD), 2016, : 2277 - 2282
[5] Pseudo-BL algebras and pseudo-effect algebras
Zhang, Xiao-Hong
Fan, Xue-Shuang
FUZZY SETS AND SYSTEMS, 2008, 159 (01) : 95 - 106
[6] Pseudo-MV algebras as L-algebras
Yang, Yichuan
Rump, Wolfgang
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2012, 19 (5-6) : 621 - 632
[7] BIPARTITE PSEUDO-BL ALGEBRAS
Walendziak, Andrzej
Wojciechowska-Rysiawa, Magdalena
DEMONSTRATIO MATHEMATICA, 2010, 43 (03) : 487 - 496
[8] On pseudo-BL algebras and BCC-algebras
Xiao-hong Zhang
Wei Hua Li
Soft Computing, 2006, 10
[9] On pseudo-BL algebras and BCC-algebras
Zhang, Xiao-Hong
Li, Wei Hua
SOFT COMPUTING, 2006, 10 (10) : 941 - 952
[10] Pseudo-Iseki algebras. Connection with pseudo-BL algebras
Iorgulescu, A
JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING, 2005, 11 (3-4) : 263 - 308

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