A generalisation of the intuitionistic set, classical set, fuzzy set, paraconsistent set, dialetheist set, paradoxist set, tautological set based on Neutrosophy. An element x(T, I, F) belongs to the set in the following way: it is t true in the set, i indeterminate in the set, and f false, where t, i, and f are real numbers taken from the sets T, I, and F with no restriction on T, I, F, nor on their sum n=t+i+f.
The neutrosophic set generalises:
– the intuitionistic set, which supports incomplete set theories (for 0- the fuzzy set (for n=100 and i=0, and 0- the classical set (for n=100 and i=0, with t,f either 0 or 100);
– the paraconsistent set (for n>100 and i=0, with both t,f- the dialetheist set, which says that the intersection of some disjoint sets is not empty (for t=f=100 and i=0; some paradoxist sets can be denoted this way).
[“Neutrosophy / Neutrosophic Probability, Set, and Logic”, Florentin Smarandache, American Research Press, 1998].
- Neutrosophic statistics
statistics Analysis of events described by neutrosophic probability. [“Neutrosophy / Neutrosophic Probability, Set, and Logic”, Florentin Smarandache, American Research Press, 1998]. (1999-07-05)
philosophy (From Latin “neuter” – neutral, Greek “sophia” – skill/wisdom) A branch of philosophy, introduced by Florentin Smarandache in 1980, which studies the origin, nature, and scope of neutralities, as well as their interactions with different ideational spectra. Neutrosophy considers a proposition, theory, event, concept, or entity, “A” in relation to its opposite, “Anti-A” and […]
[noo-truh-sfeer, nyoo-] /ˈnu trəˌsfɪər, ˈnyu-/ noun 1. the part of the atmosphere whose constituents are, for the most part, electrically neutral, extending from the earth’s surface to the base of the ionosphere.
neutrotaxis neu·tro·tax·is (nōō’trə-tāk’sĭs, nyōō’-) n. A response designated as attractive, repulsive, or neutral, shown by neutrophilic white blood cells when stimulated by a substance.