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

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Aug 2016Publisher:IEEEJournal:2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD)

Authors: Xiaohong Zhang 0001; Qiuyan Zhan; Xueping Wang 0001;

doi: 10.1109/fskd.2016.7603536

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

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Abstract

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.

Related Organizations

Florida State University College of Arts and Sciences
United States
Sichuan Normal University
China (People's Republic of)
Shanghai Maritime University
China (People's Republic of)

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