Introduction to NeutroHyperGroups


  • M.A. Ibrahim Department of Mathematics, Federal University of Agriculture, PMB 2240, Abeokuta, Nigeria
  • Adesina Abdul Akeem Agboola Federal University of Agriculture, Abeokuta, Ogun State


NeutroSophication and AntiSophication are processes through which NeutroAlgebraic and AntiAlgebraic structures can be generated from any classical structures. Given any classical structure with $m$ operations (laws and axioms) where $m\geq 1$ we can generate $(2^m-1)$ NeutroStructures and $(3^m-2^m)$ AntiStructures. In this paper, we introduce for the first time the concept of NeutroHyperGroups. Specifically, we study a particular class of NeutroHyperGroups called $[2,3]-$ NeutroHyperGroups and present their basic properties and several examples. It is shown that the intersection of two $[2,3]-$ NeutroSubHyperGroups is not necessarily a $[2,3]-$NeutroSubHypergroup but their union may produce a $[2,3]-$ NeutroSubhypergroup. Also, the quotient of a $[2,3]-$NeutroHyperGroup factored by a $[2,3]-$ NeutroSubHyperGroup is shown to be a $[2,3]-$NeutroHyperGroup. Examples are provided to show that in the neutrosophic environment, $[2,3]-$ NeutroHyperGroups are associated with dismutation reactions in some chemical reactions and biological processes.


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How to Cite

M.A. Ibrahim, & Agboola, A. A. A. (2020). Introduction to NeutroHyperGroups. Neutrosophic Sets and Systems, 38, 15-32. Retrieved from