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

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