AIJul 3, 2014

n-Valued Refined Neutrosophic Logic and Its Applications to Physics

arXiv:1407.1041v1262 citations
Originality Synthesis-oriented
AI Analysis

This is an incremental extension of existing logic frameworks to a more general n-valued case, with potential applications in physics.

The paper generalizes 2-valued Boolean logic to n-valued refined neutrosophic logic, defining neutrosophic norms and conorms, and lists applications to physics.

In this paper we present a short history of logics: from particular cases of 2-symbol or numerical valued logic to the general case of n-symbol or numerical valued logic. We show generalizations of 2-valued Boolean logic to fuzzy logic, also from the Kleene and Lukasiewicz 3-symbol valued logics or Belnap 4-symbol valued logic to the most general n-symbol or numerical valued refined neutrosophic logic. Two classes of neutrosophic norm (n-norm) and neutrosophic conorm (n-conorm) are defined. Examples of applications of neutrosophic logic to physics are listed in the last section. Similar generalizations can be done for n-Valued Refined Neutrosophic Set, and respectively n- Valued Refined Neutrosopjhic Probability.

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