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neutrosophic set

 
 
neutrosophic set A generalisation of the , classical set, , , , , based on . 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 , which supports incomplete set theories (for 0100 and i=0, with both t,f<100); - the , 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). {Home (http://www.gallup.unm.edu/~smarandache/NeutSet.txt)}. ["Neutrosophy / Neutrosophic Probability, Set, and Logic", Florentin Smarandache, American Research Press, 1998]. (1999-12-14)
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