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
- 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].