Abstract: In this short note we show that C. Ardil’s assertation “neutrality is frequently interpreted as
a manifestation of the indeterminacy component” is false. We have showed from the beginning in 1998
that “Neutrosophy is a new branch of philosophy, which studies the origin, nature, and scope of
neutralities, as well as their interactions with different ideational spectra” [1].
His Score-Based Ranking for Neutrosophic Logic is wrong [3] and his Neutrosophic Conjunction and
Neutrosophic Disjunction operators are superficial (reduced only to min/max operations), while the
Neutrosophic Logic Operators are based on T-norm and T-conorm and have a general form.
Neutral Set/Logic, that uses only neutrality, is a subclass of the Neutrosophic Set/Logic, that uses both
neutrality and all types of indeterminacies.
Keywords: Neutrosophy, Neutrality, Single-Valued Neutrosophic Set, Neutral Set, neutrosophic
logic, neutrosophic set theory, mathematical equivalence, indeterminacy, truth membership,
falsity membership, paraconsistent information, uncertainty modeling.
Publication Date: 2026-06-18