| The Application of Rough Set Theory in Pseudo-BCK-Algebra |
| Received:December 03, 2014 Revised:April 27, 2015 |
| Key Words:
lower and upper approximation pseudo-BCK-algebra pseudo-filter rough set subalgebra
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| Fund Project:Supported by Ningbo Natural Science Foundation Project (Grant No.2013A610100), the Twelfth Five-Year Plan of Zhejiang Province Key Discipline-Computer Application Technology (Grant No.20121114) and the Science Foundation Project of Ningbo University (Grant No.XYL13004). |
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| Abstract: |
| In this paper, we apply the rough set theory to pseudo-BCK-algebras. As a generalization of pseudo-BCK-algebras, the notions of rough pseudo-BCK-algebras, rough subalgebras and rough pseudo-filters are introduced and some of their properties are discussed in an algebra-like approximation space. Furthermore, we investigate rough subalgebras and rough pseudo-filters in a pseudo-BCK-algebra approximation space. Finally, we give several verification programs of pseudo-BCK-algebras, pseudo-filters and subalgebra. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2016.01.004 |
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