With the complexity of the socio-economic environment,today’s decision-making is one of the most notable ventures,whose mission is to decide the best alternative under the numerous known or unknown criteria.In cognition of things,people may not possess a precise or sufficient level of knowledge of the problem domain and hence they usually have some sort of uncertainties in their preferences over the objects.This will make the performance of the cognitive in terms of three-way model,namely acceptation,rejection,indeterminacy,which falls under the neutrosophic set theory,an extension of the fuzzy set theory.Nowadays,many new extensions of the ordinary neutrosophic set are proposed and they are expected to be competitive with the other extensions in the future.On the other hand,in recent years,human beings inescapably are met with numerous decision-making problems,which affect multiple fields;however,few of them are in the area of knowledge management.Therefore it is necessary to provide a dedicated forum for discussion on these settings and their extensions,and applications in the real world as well.