number

Scilogs, V: joining the dots

= ( [max{T1, T3}, max{T2, T4}], [min{I1, I3}, min{I2, I4}], [min{F1, F3}, min{F2, F4}] ). Linguistic-Interval Neutrosophic Intersection: ( [T1, T2], [I1, I2], [F1, F2])  L ([T3, T4], [I3, I4], [F3, F4] ) = = ( [T1, T2]  [T3, T4], [I1, I2]∨[I3, I4], [F1, F2]∨[F3, F4] ) = = ( [min{T1, T3}, min{T2, T4}], [max{I1, I3}, max{I2, I4} ], [max{ F1, F3}, max{F2, F4}] ). Linguistic-Interval Neutrosophic Complement of ( [T1, T2], [I1, I2], [F1, F2] ) is: ( [F1, F2], [1-I2, 1-I1], [T1, T2] ). And we extend them for interval-valued linguistic complex neutrosophic operators.

Ternary Fuzzy Number as a special case of neutrosophic number

What Chao Wang, Minghu Ha and Xiaowei Liu call a ternary fuzzy number is a special case of neutrosophic number. In neutrosophic set, the sum of the components is not necessarily 3, but up to 3, i.e. T + I + F ≤ 3. See the article Degree of Dependence and Independence of the (Sub)Components of Fuzzy Set and Neutrosophic Set, by F.

Smarandache, Neutrosophic Sets and Systems, Vol. 11, 9597, 2016; http://fs.unm.edu/NSS/DegreeOfDependenceAndIndependence.p df .