BCK代数の束演算構成に関する一考察

河口 万由香; 青木 俊介

doi:10.14864/fss.30.0_572

30th Fuzzy System Symposium

Session ID : TD3-3

DOI https://doi.org/10.14864/fss.30.0_572

Conference information

Host: Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT)

main

On Constructions of Lattice-Operations in BCK-Algebras

*Mayuka F. Kawaguchi, Shunsuke Aoki

Author information

Keywords: BCK-algebras, lattice operations, commutative BCK-algebras, BCK-algebras with condition (S)

CONFERENCE PROCEEDINGS FREE ACCESS

Details

Abstract

It is already known that a BCK-algebra has the partially-ordered structure equipped with the least element, also it has a lattice structure when it is bounded and commutative, and when it satisfies the condition (S) and the commutativity. In this report, the authors create some concrete examples of BCK-algebras with different features on a representative simple lattice, and we investigate the characteristics of BCK-algebras from the viewpoint of the construction of lattice operations.

Corresponding author

Register with J-STAGE for free!