Non-commutative Hyper Residuated Lattices and Hyper Pseudo-BCK algebras

被引:0
|
作者
Zhang, Xiaohong [1 ]
Zhan, Qiuyan [1 ]
Wang, Xueping [2 ]
机构
[1] Shanghai Maritime Univ, Coll Arts & Sci, Shanghai 201306, Peoples R China
[2] Sichuan Normal Univ, Coll Math & Software Sci, Chengdu 610066, Sichuan Provinc, Peoples R China
关键词
fuzzy logic; residuated lattice; non-commutative hyper residuated lattice; hyper pseudo-BCK algebra; weak hyper pseudo-BCK algebra;
D O I
暂无
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The new notion of non-commutative hyper residuated lattice is introduced and some properties are investigated. Moreover, two definitions of hyper pseudo-BCK algebras are discussed, and the following result is proved: every strong non-commuatative hyper residuated lattice can induce a weak hyper pseudo-BCK algebra. Finally, some mistakes in literatures are pointed out.
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页码:2277 / 2282
页数:6
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