Rough set theory applied to UP-algebras

Authors

  • Moin A. Ansari Jazan University - Department of Mathematics
  • Ali N.A. Koam Jazan University - Department of Mathematics
  • Azeem Haider Jazan University - Department of Mathematics

Keywords:

UP-algebra, UP-ideal, congruence, lower and upper approximations, definable

Abstract

In this paper, the concept of roughness in UP-algebras is introduced.  We study the lower and upper approximations of UP-subalgebras and UP-ideals and prove that the lower/upper approximation of UP-subalgebra (resp., UP-ideals) is a UP-subalgebra (resp., UP-ideals).  A connection between rough sets and UP-Algebras with their weak and strong ideals have also been taken under consideration and some related results have been shown.

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Published

2019-07-30

How to Cite

Ansari, M. A., Koam, A. N., & Haider, A. (2019). Rough set theory applied to UP-algebras. Italian Journal of Pure and Applied Mathematics, 42, 388–402. Retrieved from https://journals.uniurb.it/index.php/ijpam/article/view/7228

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Section

Articoli - Forum Editrice

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