Affiliation:
1. Zayed University, UAE
2. Lebanese International University, Lebanon
3. University Business Academy in Novi Sad, Serbia
Abstract
AntiSophication is the process through which AntiAlgebraic structures can be generated from any given classical algebraic structures. The concept of AntiHyperStructures has been studied in previous work. The aim of this chapter is to study AntiSemihypergroups, AntiQuasihypergroups, AntiSubSemihypergroups, AntiHypergroups, and their properties. Some new definitions and theorems will be presented and supported by illustrative examples. In addition, the authors prove the existence of an infinite number of AntiSemihypergroups and AntiHypergroups.
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