Rough set theory applied to UP-algebras

Theeyarat Klinseesooka Department of Mathematics, School of Science, University of Phayao, Phayao56000, Thailand, E-mail: [email protected]

Sukhontha Bukokb Department of Mathematics, School of Science, University of Phayao, Phayao56000, Thailand, E-mail: [email protected]

Aiyared Iampanc Department of Mathematics, School of Science, University of Phayao, Phayao56000, ThailandCorrespondence[email protected]

https://orcid.org/0000-0002-0475-3320

Abstract

In this paper, rough set theory is applied to UP-algebras, proved some results and discussed the generalization of some notions of rough UP-subalgebras, rough UP-filters, rough UP-ideals and rough strongly UP-ideals. Furthermore, we discuss the relation between rough UP-subalgebras (resp., rough UP-filters, rough UP-ideals and rough strongly UP-ideals) and UP-subalgebras (resp., UP-filters, UP-ideals and strongly UP-ideals) and present some examples.

Subject Classification:

03G25

Keywords:

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Rough set theory applied to UP-algebras

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Rough set theory applied to UP-algebras

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