neutrosophic set

neutrosophic set

   <logic> A generalisation of the {intuitionistic set},
   classical set, {fuzzy set}, {paraconsistent set}, {dialetheist
   set}, {paradoxist set}, {tautological set} based on
   {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 n>100 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).

   (http://gallup.unm.edu/~smarandache/NeutSet.txt).

   ["Neutrosophy / Neutrosophic Probability, Set, and Logic",
   Florentin Smarandache, American Research Press, 1998].

   (1999-12-14)