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neutrosophic set


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 0fuzzy 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). Start . ["NeutroSophy / NeutroSophic Probability, Set, and Logic", Florentin Smarandache, American ReSearch PreSS, 1998]. (1999-12-14)

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