Extended BCK-Ideal Based on Single-Valued Neutrosophic Hyper BCK-Ideals

This paper introduces the concept of single-valued neutrosophic hyper $BCK$-subalgebras as a generalization and alternative of hyper $BCK$-algebras and on any given nonempty set constructs at least one single-valued neutrosophic hyper $BCK$-subalgebra and one a single-valued neutrosophic hyper $BCK$-ideal. In this study level subsets play the main role in the connection between singlevalued neutrosophic hyper $BCK$-subalgebras and hyper $BCK$-subalgebras and the connection between single-valued neutrosophic hyper $BCK$-ideals and hyper $BCK$-ideals. The congruence and (strongly) regular equivalence relations are the important tools for connecting hyperstructures and structures, so the major contribution of this study is to apply and introduce a (strongly) regular relation on hyper $BCK$-algebras and to investigate their categorical properties (quasi commutative diagram) via single-valued neutrosophic hyper $BCK$-ideals. Indeed, by using the single-valued neutrosophic hyper $BCK$-ideals, we define a congruence relation on (weak commutative) hyper $BCK$-algebras that under some conditions is strongly regular and the quotient of any (single-valued neutrosophic)hyper $BCK$-(sub)algebra via this relation is a (single-valued neutrosophic)(hyper $BCK$-subalgebra) $BCK$-(sub)algebra

Correlation Coefficient between Dynamic Single Valued Neutrosophic Multisets and Its Multiple Attribute Decision-Making Method

Based on dynamic information collected from different time intervals in some real situations, this paper firstly proposes a dynamic single valued neutrosophic multiset (DSVNM) to express dynamic information and operational relations of DSVNMs

A Novel Rough Set Model in Generalized Single Valued Neutrosophic Approximation Spaces and Its Application

In this paper, we extend the rough set model on two different universes in intuitionistic fuzzy approximation spaces to a single-valued neutrosophic environment

The Encyclopedia of Neutrosophic Researchers - vol. 1

This is the first volume of the Encyclopedia of Neutrosophic Researchers, edited from materials offered by the authors who responded to the editor’s invitation. The authors are listed alphabetically. The introduction contains a short history of neutrosophics, together with links to the main papers and books. Neutrosophic set, neutrosophic logic, neutrosophic probability, neutrosophic statistics, neutrosophic measure, neutrosophic precalculus, neutrosophic calculus and so on are gaining significant attention in solving many real life problems that involve uncertainty, impreciseness, vagueness, incompleteness, inconsistent, and indeterminacy. In the past years the fields of neutrosophics have been extended and applied in various fields, such as: artificial intelligence, data mining, soft computing, decision making in incomplete / indeterminate / inconsistent information systems, image processing, computational modelling, robotics, medical diagnosis, biomedical engineering, investment problems, economic forecasting, social science, humanistic and practical achievements