Affiliations: [a] Department of Mathematics, Hazara University, Mansehra, Pakistan
| [b] Department of Mathematics, College of Science Al-Zulfi, Majmaah University, Al-Zulfi, Saudi Arabia
| [c] School of Education, Democritus University of Thrace, Alexandroupolis, Greece
Correspondence:
[*]
Corresponding author. Muhammad Gulistan, Department of Mathematics, Hazara University, Mansehra, K.P.K, Pakistan. E-mail: gulistanmath@hu.edu.pk.
Abstract: Cubic sets are generalized version of fuzzy sets, in which there are two representations, one is used for the degree of membership and other is used for the degree of non-membership. Membership function is handled in the form of intervals while non-membership is handled through ordinary fuzzy sets. Since the invention of fuzzy set many researchers applied this notion to different algebraic structures. Mostly, they focus on the associative structures. Here we concentrate on a useful non associative structure known as Hv-LA-semigroup. Using this idea, we characterize an Hv-LA-semigroup in terms of cubic ideals. We study the idea of cubic equivalence relations, cubic regular relations in Hv-LA-semigroups and provide some related results.
