neutrosophic logic
neutrosophic logic
(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".
http://gallup.unm.edu/~smarandache/NeutLog.txt.
["Neutrosophy / Neutrosophic probability, set, and logic", F. Smarandache, American Research Press, 1998].
- 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".
http://gallup.unm.edu/~smarandache/NeutLog.txt.
["Neutrosophy / Neutrosophic probability, set, and logic", F. Smarandache, American Research Press, 1998].
This article is provided by FOLDOC - Free Online Dictionary of Computing (foldoc.org)