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n-Valued Refined Neutrosophic Logic and Its Applications to Physics

Artificial Intelligence 2014-07-07 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1407.1041,
  title  = {n-Valued Refined Neutrosophic Logic and Its Applications to Physics},
  author = {Florentin Smarandache},
  journal= {arXiv preprint arXiv:1407.1041},
  year   = {2014}
}

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9 pages