2006 introduction of degree of dependence and degree of independence – between the neutrosophic components T, I, F (p. 92) 2007 The Neutrosophic Set was extended [Smarandache, 2007] to Neutrosophic Overset (when – some neutrosophic component is > 1), since he observed that, for example, an employee working overtime deserves a degree of membership > 1, with respect to an employee that only works regular full-time and whose degree of membership = 1; and to Neutrosophic Underset (when some neutrosophic component is < 0), since, for example, an employee making more damage than benefit to his company deserves a degree of membership < 0, with respect to an employee that produces benefit to the company and has the degree of membership > 0; and to and to Neutrosophic Offset (when some neutrosophic components are off the interval [0, 1], i.e. some neutrosophic component > 1 and some neutrosophic component < 0). Then, similarly, the Neutrosophic Logic/Measure/Probability/Statistics etc. were extended to respectively Neutrosophic Over-/Under-/Off- Logic, Measure, Probability, Statistics etc. 2007 Smarandache and introduced the Neutrosophic Tripolar Set Neutrosophic Multipolar Set – and consequently and the Neutrosophic Tripolar Graph Neutrosophic Multipolar Graph – (p. 93) 2009 introduction of N-norm and N-conorm – 2013 - development of neutrosophic probability (chance that an event occurs, indeterminate chance of occurrence, chance that the event does not occur) 2013 - refinement of components (T1, T2, ...; I1, I2, ...; F1, F2, ...)
2006 – introduction of degree of dependence and degree of independence between the neutrosophic components T, I, F (p. 92) 2007 – The Neutrosophic Set was extended [Smarandache, 2007] to Neutrosophic Overset (when some neutrosophic component is > 1), since he observed that, for example, an employee working overtime deserves a degree of membership > 1, with respect to an employee that only works regular full-time and whose degree of membership = 1; and to Neutrosophic Underset (when some neutrosophic component is < 0), since, for example, an employee making more damage than benefit to his company deserves a degree of membership < 0, with respect to an employee that produces benefit to the company and has the degree of membership > 0; and to and to Neutrosophic Offset (when some neutrosophic components are off the interval [0, 1], i.e. some neutrosophic component > 1 and some neutrosophic component < 0). Then, similarly, the Neutrosophic Logic/Measure/Probability/Statistics etc. were extended to respectively Neutrosophic Over-/Under-/Off- Logic, Measure, Probability, Statistics etc. 2007 – Smarandache introduced the Neutrosophic Tripolar Set and Neutrosophic Multipolar Set and consequently – the Neutrosophic Tripolar Graph and Neutrosophic Multipolar Graph (p. 93) 2009 – introduction of N-norm and N-conorm 2013 - development of neutrosophic probability (chance that an event occurs, indeterminate chance of occurrence, chance that the event does not occur) 2013 - refinement of components (T1, T2, ...; I1, I2, ...; F1, F2, ...)
History%20of%20Neutrosophics.docx