VDict mobile



logic A generalisation of the intuitionistic set,
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#@n#@100 and i=0, 0#@=t,i,f#@=100);
- the fuzzy set (for n=100 and i=0, and 0#@=t,i,f=100);
- the classical set (for n=100 and i=0, with t,f either 0 or
100);
- the paraconsistent set (for n100 and i=0, with both
t,f#@100);
- 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].
(1999-12-14)