n-Refined Neutrosophic TwoFold Algebra: A Novel Framework for Evaluating Competitiveness in the Power and Electronics Technology Industry
Keywords:
Neutrosophic Algebra; MultiFold Logic; Competitiveness; Power Technology; Electronics Industry; Decision Modeling.Abstract
This paper introduces a novel mathematical structure called Neutrosophic
MultiFold Algebra (N-MFA), an original extension of Neutrosophic TwoFold Algebra.
While the traditional TwoFold model captures truth, indeterminacy, and falsehood, the
MultiFold model expands this structure to include additional logical dimensions such as
confidence and reliability. The goal is to create a richer algebraic framework for analyzing
complex, multi-criteria systems. We apply this new framework to the power and
electronics technology industry, a sector that faces intense global competition and rapidly
changing dynamics. The paper develops the formal definitions of N-MFA, proposes new
operational laws, and demonstrates its application through practical, step-by-step
examples. The results show that N-MFA offers a more flexible and accurate method for
evaluating competitiveness than traditional models. This research opens a path toward
advanced decision-making tools in uncertain and evolving industrial environments.
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