Approximations in left almost polygroups

Article type: Research Article

Authors: Yaqoob, Naveed^{; *}

Affiliations: Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Suadi Arabia

Correspondence: [*] Corresponding author. Naveed Yaqoob, Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Suadi Arabia. E-mails: [email protected] and [email protected].

Abstract: In this paper, we study the idea of rough approximations in LA-polygroups, and present some examples in this respect. In particular, we study some properties of rough LA-subpolygroup which is an extension of LA-subpolygroup. We prove that the lower (upper) approximation of an LA-subpolygroup is an LA-subpolygroup. We consider the factor LA-polygroup P/H and interpret the lower and upper approximations as subsets of the factor LA-polygroup P/H. Then, we introduce the concept of factor rough LA-subpolygroups. Also, we provided some results on homomorphisms of rough LA-subpolygroups.

Keywords: LA-polygroups, LA-subpolygroups, Lower approximations, Upper approximations

DOI: 10.3233/JIFS-18776

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 1, pp. 517-526, 2019