TY - JOUR AU - Al Tahan, M. AU - Davvaz, B. AU - Parimala, M. AU - Al-Kaseasbeh, S. PY - 2022/12/30 Y2 - 2024/03/28 TI - Linear Diophantine fuzzy subsets of polygroups: Array JF - Carpathian Mathematical Publications JA - Carpathian Math. Publ. VL - 14 IS - 2 SE - Scientific articles DO - 10.15330/cmp.14.2.564-581 UR - https://journals.pnu.edu.ua/index.php/cmp/article/view/5217 SP - 564-581 AB - <p>Linear Diophantine fuzzy sets were recently introduced as a generalized form of fuzzy sets. The aim of this paper is to shed the light on the relationship between algebraic hyperstructures and linear Diophantine fuzzy sets through polygroups. More precisely, we introduce the concepts of linear Diophantine fuzzy subpolygroups of a polygroup, linear Diophantine fuzzy normal subpolygroups of a polygroup, and linear Diophantine anti-fuzzy subpolygroups of a polygroup. Furthermore, we study some of their properties and characterize them in relation to level and ceiling sets.</p> ER -