Generalizations and alternatives of classical algebraic structures to neutroAlgebraic structures and antiAlgebraic structures

Abstract

In this paper we present the development from paradoxism to neutrosophy, which gave birth to neutrosophic set and logic and especially to NeutroAlgebraic Structures (or NeutroAlgebras) and AntiAlgebraic Structures (or AntiAlgebras) that are generalizations and alternatives of the classical algebraic structures.

Keywords

• neutroalgebra
• antialgebra
• neutrooperation
• antioperation
• neutroaxiom
• antiaxiom
• neutrotheorem