NeutroAlgebra & AntiAlgebra vs. Classical Algebra

Subject Areas : Transactions on Fuzzy Sets and Systems

Florentin Smarandache ¹

1 - Department of Mathematics, Physics, and Natural Science, University of New Mexico, New Mexico State 87301, USA.

Received: 2022-02-22 Accepted : 2022-02-23 Published : 2022-05-07

Keywords: NeutroAlgebra, AntiAlgebra, NeutroOperation, NeutroAxiom, AntiAxiom, Classical Algebra, AntiOperation.,

Abstract :

NeutroAlgebra & AntiAlgebra vs. Classical Algebra is a like Realism vs. Idealism. Classical Algebra does not leave room for partially true axioms nor partially well-defined operations. Our world is full of indeterminate (unclear, conflicting, unknown, etc.) data. This paper is a review of the emerging, development, and applications of the NeutroAlgebra and AntiAlgebra [2019-2022] as generalizations and alternatives of classical algebras.

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