Akademik Veri Yönetim Sistemi
Journal of Algebraic Hyperstructures and Logical Algebras, cilt.6, sa.2, ss.177-195, 2025 (Scopus)
This paper introduces a new hybrid structure called a multipolar (m, n)-fuzzy set, which is an extension of multipolar fuzzy sets and (m, n)-fuzzy sets. The concept of a multipolar (m, n)-fuzzy set has been applied to the study of semihypergroups. In particular, we introduce the notions of multipolar (m, n)-fuzzy sub-semihypergroups, multipolar (m, n)-fuzzy hyperideals, multipolar (m, n)-fuzzy bi-hyperideals, multipolar (m, n)-fuzzy quasi-hyperideals, and multipolar (m, n)fuzzy (1, 2)-hyperideals of semihypergroups, and investigate some of their properties. Additionally, we characterized regular semihypergroups in terms of various types of multipolar (m, n)-F-hyperideals.