(Or “Smarandache logic”) A generalisation of fuzzy logic based on Neutrosophy. A proposition is t true, i indeterminate, and f false, where t, i, and f are real values from the ranges T, I, F, with no restriction on T, I, F, or the sum n=t+i+f. Neutrosophic logic thus generalises:
– intuitionistic logic, which supports incomplete theories (for 0- fuzzy logic (for n=100 and i=0, and 0- Boolean logic (for n=100 and i=0, with t,f either 0 or 100);
– multi-valued logic (for 0- paraconsistent logic (for n>100 and i=0, with both t,f- dialetheism, which says that some contradictions are true (for t=f=100 and i=0; some paradoxes can be denoted this way).
Compared with all other logics, neutrosophic logic introduces a percentage of “indeterminacy” – due to unexpected parameters hidden in some propositions. It also allows each component t,i,f to “boil over” 100 or “freeze” under 0. For example, in some tautologies t>100, called “overtrue”.
[“Neutrosophy / Neutrosophic probability, set, and logic”, F. Smarandache, American Research Press, 1998].
- Neutrosophic probability
logic An extended form of probability based on Neutrosophy, in which a statement is held to be t true, i indeterminate, and f false, where t, i, f are real values from the ranges T, I, F, with no restriction on T, I, F or the sum n=t+i+f. (http://gallup.unm.edu/~smarandache/NeutProb.txt). [“Neutrosophy / Neutrosophic Probability, Set, and […]
- Neutrosophic set
logic 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 […]
- 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 […]