TY - JOUR ID - 113361 TI - A brief survey on algebraic hyperstructures: Theory and applications JO - Journal of Algebraic Hyperstructures and Logical Algebras JA - JAHLA LA - en SN - 2676-6000 AU - Davvaz, B. AD - Department of Mathematics Yazd University, Yazd Iran Y1 - 2020 PY - 2020 VL - 1 IS - 3 SP - 15 EP - 29 KW - Hyperstructures KW - fundamental relations KW - Fuzzy Sets KW - rough sets KW - n-ary hypergroups DO - 10.29252/HATEF.JAHLA.1.3.2 N2 - I am working on algebraic hyperstructures from 1995. During the last twenty years, I together with my students and co-authors studied and developed the theory of algebraic hyperstructures in many directions. In particular, we tried to find real examples of hyperstructures in nature. In this paper we review some parts of these works such as (1) Fundamental relations on hyperstructures; (2) Fuzzy sets and hyperstructures; (3) Rough sets and hyperstructures; (4) Topology and hyperstructures; (5) Number theory and hyperstructures; (6) n-ary hypergroups and there extension to hyperrings and hypermodules; (7) Applications of hyperstructures in biology, physics and chemistry.  UR - https://jahla.hatef.ac.ir/article_113361.html L1 - https://jahla.hatef.ac.ir/article_113361_87b9f01d2154e1386c8dcb03d52ada1e.pdf ER -