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Neutrosophic Sets and Systems

Abstract

Let be an item, concept, idea, proposition, school of thought, current, theory, etc. and be the opposite of . Analogously for and its opposite . Neutrosophy means to find: (i) (ii) common parts to uncommon things (that is, and have something in common, or their intersection ∩ is not empty), and vice versa: (ii) uncommon parts to common things (the two equal items = have also uncommon parts, either ∩ is not empty, or ∩ is not empty). Both, the Common Parts to Uncommon Things, and the Uncommon Parts to Common Things, end up being parts of indeterminacy / neutrality situated between the opposites: denoted by , which means neither nor , but in between them; and respectively by , which similarly means neither nor , but in between them.

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