非交换超剩余格与超伪bck代数

2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD) Pub Date : 2016-08-01 DOI:10.1109/FSKD.2016.7603536

Xiaohong Zhang, Q. Zhan, Xue-ping Wang

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引用次数: 0

摘要

引入了非交换超剩余格的新概念，并研究了一些性质。此外，讨论了超伪bck代数的两种定义，并证明了以下结果:每一个强非交换超残格都能推导出一个弱超伪bck代数。最后，指出了文献中的一些错误。

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Non-commutative hyper residuated lattices and hyper pseudo-BCK algebras

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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2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)

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