Neutrosophic Triplet Strong and Weak Sets

Neutrosophic Triplet Strong and Weak Sets

To Tèmítópé Gbóláhàn Jaíyéolá We say that a neutrosophic triplet set N is strong if: for any x in N there is a neut(x) and an anti(x) in N. Then we say that a neutrosophic triplet set M is weak if: for any x in M there is a neutrosophic triplet <y, neut(y), anti(y)> in M such that x = y or x = neut(y) or x = anti(y). For example, Z3 = {0, 1, 2}, with respect to the multiplication modulo 3, is a neutrosophic triplet weak set, whose neutrosophic triplets are: <0,0,0>, <0,0,1>, <0,0,2>, but it is not a neutrosophic triplet strong set, since for the element 2, for example, there is no neut(2) nor anti(2). Applications are for the triads: <A, neut(A), anti(A)> as in neutrosophy, where A = entity, idea, notion, concept etc.:

etc. <friend, neutral, enemy>, <winning, tie game, loosing>, <accept, pending, reject>, <positive particle, neutral particle, negative particle>,