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neutrosophic logic
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logic (Or "Smarandache logic") A generalisation of fuzzylogic 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
- multi-valued logic (for 0#@=t,i,f=100);
- paraconsistent logic (for n100 and i=0, with both
- dialetheism, which says that some contradictions are true
(for t=f=100 and i=0; some paradoxes can be denoted this
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 t100, called "overtrue".