Theoretical Study of the NeutroAlgebra Generated by the Combining Function in Prospector and Some Pedagogical Notes

Abstract

NeutroAlgebras consist of algebras containing at least one NeutroAxiom. In the literature, there is a method for decision-making in a migrational situation that uses a NeutroAlgebra generated by the combining function in Prospector. This method is an important hit in showing both the utility and theoretical significance of NeutroAlgebras since it uses this abstract tool for solving a real-life problem. To the authors' knowledge, this is the only approach to NeutroAlgebras which is not exclusively theoretical. This chapter presents the rigorous mathematical proofs of the properties of that NeutroAlgebra because so far the theoretical approaches to the proposed method are minimal. The deeper mathematical knowledge of this specific NeutroAlgebra is a contribution to the general theory on this subject. The authors expect that this chapter will serve as dissemination of NeutroAlgebras among undergraduate and graduate students who may be interested in this issue.