neutrosophic logic definition
<logic> (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<n<100 and i=0, 0<=t,i,f<=100);
- fuzzy logic (for n=100 and i=0, and 0<=t,i,f<=100);
- Boolean logic (for n=100 and i=0, with t,f either 0 or
100);
- multi-valued logic (for 0<=t,i,f<=100);
- paraconsistent logic (for n>100 and i=0, with both
t,f<100);
- 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".
Home.
["Neutrosophy / Neutrosophic probability, set, and logic",
F. Smarandache, American Research Press, 1998].
(1999-10-04)
Nearby terms:
neuron « Neutral Interconnect « neutrosophic « neutrosophic logic » neutrosophic probability » neutrosophic set » neutrosophic statistics
|
|
